Exam 9: Modeling Our World

Write the word or phrase that best completes each statement or answers the question.For the given function: a)Describe an appropriate domain and range for the function. b)Make a rough sketch of a graph of the function. c)Briefly discuss the validity of your graph as a model of the true function. -(size of truck, average fuel mileage)

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Question 1

Correct Answer:

Verified

Answers may vary.
a)The domain of the function consists of the typical sizes of all trucks from about 6
ft tall to 10 ft tall. The range consists of the average fuel mileage for trucks of
various sizes.
b) c)This function should be roughly decreasing, because we expect fuel mileage to
decrease as the size of the truck increases. However, the function probably would
not give a good model because of the many exceptions (length and weight of truck,
tall trucks with excellent fuel mileage and shorter trucks with poor fuel mileage).

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = - 4 x - 5$

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(Multiple Choice)

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Question 2

Correct Answer:

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The demand for basketball tickets is a function of their price.

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(True/False)

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Question 3

Correct Answer:

Verified

True

Provide an appropriate response. -The population of a town with an initial population of 70,430 grows at a rate of 2.5% per year. Make a graph of the exponential function.

(Multiple Choice)

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Question 4

Provide an appropriate response. -The population of a town with an initial population of 64,546 is decreasing at a rate of 3.7% per year. Create an exponential function of the form Q $\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

(Multiple Choice)

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Question 5

Solve the equation for the unknown quantity x. - $10 ^ { x } = 55$

(Multiple Choice)

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Question 6

Provide an appropriate response. -If prices of gold decrease at a monthly rate of 0.7%, by what percentage do they decrease in a year.

(Multiple Choice)

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Question 7

Write an equation for the linear function and use it to answer the given question. -The cost of renting a car is a flat $44, plus an additional 0.24 cents per mile that you drive. How far can you drive for $89?

(Multiple Choice)

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Question 8

Provide an appropriate response. -The population of a town with an initial population of 65,747 grows at a rate of 3.7% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

(Multiple Choice)

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Question 9

Create the required linear function an use it to answer the question. -Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 780. Based on these two Data points, create a linear equation for the function that describes how score varies as a function of Time. Use this function to predict an average score for persons taking a 43-hour review course. Round your answer to the tenths place.

(Multiple Choice)

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Question 10

(weight of a bag of candy, price of the bag of candy)

(Multiple Choice)

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Question 11

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = 2 x + 1$

(Multiple Choice)

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Question 12

Provide an appropriate response. -The slope is defined as the amount that the graph runs vertically for a given distance that it rises horizontally.

(True/False)

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Question 13

An exponential function grows (or decays)by the same relative amount per unit time.

(True/False)

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Question 14

Provide an appropriate response. -Cars sold Crafty Bill's Cool Car Sales opened as a used car sales lot in 2001. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2003?

(Multiple Choice)

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Question 15

$\log _ { 10 } x = - 1.6$

(Multiple Choice)

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Question 16

Provide an appropriate response. -What is the most compact mathematical representation of a function?

(Multiple Choice)

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Question 17

Provide an appropriate response. -The general shape of an exponential growth function is a ______.

(Multiple Choice)

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Question 18

Write a short statement that expresses a possible function between the given variables. -(number of cars on road, air quality)

(Multiple Choice)

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Question 19

The _____ the rate of change, the steeper the slope.

(Multiple Choice)

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Question 20

Showing 1 - 20 of 85

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = - 4 x - 5$

The demand for basketball tickets is a function of their price.

Provide an appropriate response. -The population of a town with an initial population of 70,430 grows at a rate of 2.5% per year. Make a graph of the exponential function.

Provide an appropriate response. -The population of a town with an initial population of 64,546 is decreasing at a rate of 3.7% per year. Create an exponential function of the form Q $\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

Solve the equation for the unknown quantity x. - $10 ^ { x } = 55$

Provide an appropriate response. -If prices of gold decrease at a monthly rate of 0.7%, by what percentage do they decrease in a year.

Write an equation for the linear function and use it to answer the given question. -The cost of renting a car is a flat $44, plus an additional 0.24 cents per mile that you drive. How far can you drive for $89?

Provide an appropriate response. -The population of a town with an initial population of 65,747 grows at a rate of 3.7% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

(weight of a bag of candy, price of the bag of candy)

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = 2 x + 1$

Provide an appropriate response. -The slope is defined as the amount that the graph runs vertically for a given distance that it rises horizontally.

An exponential function grows (or decays)by the same relative amount per unit time.

Provide an appropriate response. -Cars sold Crafty Bill's Cool Car Sales opened as a used car sales lot in 2001. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2003?

$\log _ { 10 } x = - 1.6$

Provide an appropriate response. -What is the most compact mathematical representation of a function?

Provide an appropriate response. -The general shape of an exponential growth function is a ______.

Write a short statement that expresses a possible function between the given variables. -(number of cars on road, air quality)

The _____ the rate of change, the steeper the slope.

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 9: Modeling Our World

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - y=−4x−5y = - 4 x - 5y=−4x−5

The demand for basketball tickets is a function of their price.

Provide an appropriate response. -The population of a town with an initial population of 70,430 grows at a rate of 2.5% per year. Make a graph of the exponential function.

Provide an appropriate response. -The population of a town with an initial population of 64,546 is decreasing at a rate of 3.7% per year. Create an exponential function of the form Q Q=Q0×(1+r)t\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }Q=Q0​×(1+r)t

Solve the equation for the unknown quantity x. - 10x=5510 ^ { x } = 5510x=55

Provide an appropriate response. -If prices of gold decrease at a monthly rate of 0.7%, by what percentage do they decrease in a year.

Write an equation for the linear function and use it to answer the given question. -The cost of renting a car is a flat $44, plus an additional 0.24 cents per mile that you drive. How far can you drive for $89?

Provide an appropriate response. -The population of a town with an initial population of 65,747 grows at a rate of 3.7% per year. Create a table showing the value of the quantity Q for the first 5 years or growth or decay.

(weight of a bag of candy, price of the bag of candy)

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - y=2x+1y = 2 x + 1y=2x+1

Provide an appropriate response. -The slope is defined as the amount that the graph runs vertically for a given distance that it rises horizontally.

An exponential function grows (or decays)by the same relative amount per unit time.

Provide an appropriate response. -Cars sold Crafty Bill's Cool Car Sales opened as a used car sales lot in 2001. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2003?

log⁡10x=−1.6\log _ { 10 } x = - 1.6log10​x=−1.6

Provide an appropriate response. -What is the most compact mathematical representation of a function?

Provide an appropriate response. -The general shape of an exponential growth function is a ______.

Write a short statement that expresses a possible function between the given variables. -(number of cars on road, air quality)

The _____ the rate of change, the steeper the slope.

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling With Geometry

Mathematics and the Arts

Filters

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = - 4 x - 5$

Provide an appropriate response. -The population of a town with an initial population of 64,546 is decreasing at a rate of 3.7% per year. Create an exponential function of the form Q $\mathrm { Q } = \mathrm { Q } _ { 0 } \times ( 1 + \mathrm { r } ) ^ { \mathrm { t } }$

Solve the equation for the unknown quantity x. - $10 ^ { x } = 55$

Find the slope of the graph and they y -intercept. Then sketch the graph for values of x between -10 and 10. - $y = 2 x + 1$

$\log _ { 10 } x = - 1.6$