Exam 3: Linear and Exponential Change: Comparing Growth Rates

If the per capita growth rate of the world population continues to be what it was in the year 2000, the world population t years after July 1, 2000, will be 6.085 × 1.0121^t billion. According to this formula, when will the world population reach 9 billion?

(Multiple Choice)

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Question 21

This table shows the total number of patients diagnosed with the flu since an outbreak started: Find the formula for the linear function giving the number of diagnosed flu cases in terms of time if F is the number of flu patients diagnosed and d is time in days.

(Multiple Choice)

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Question 22

Cutting 7-inch-long squares from a square piece of cardboard and folding up the edges, you want to make an open box (without lid) with a square bottom, a height of 7 inches, and a volume of 252 cubic inches. What should be the dimension of the cardboard?

(Multiple Choice)

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Question 23

The following table shows average life expectancy in years at birth in the given year: If t denotes the time in years since 2003 and E is the life expectancy in years, then the trend line for this data is given by E = 0.18t + 77.16. If this trend line persisted through 2012, what would be the average life expectancy in years of a child born in 2012? A)78.8 years B)79.0 years C)78.6 years D)79.2 years

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Question 24

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Suppose that a music club charges $12 per CD but offers a 5% discount on orders larger than 10 CDs. The cost per order is a linear function of the number of CDs ordered.

(True/False)

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Question 25

If the decibel of a sound is doubled, then the relative intensity will be:

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Question 26

Suppose that a rifle bullet follows a parabolic path given by , where both and are measured in feet. How far downrange will the bullet hit the ground?

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Question 27

On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C (in degrees) of the road. Suppose that on a straight road (C = 0), the average speed is 47.5 miles per hour and that this decreases by 0.65 mph for each additional degree of curvature. What is the average speed if the curvature is 15 degrees?

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Question 28

On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C (in degrees) of the road. Suppose that on a straight road (C = 0), the average speed is 47.5 miles per hour and this decreases by 0.65 mph for each additional degree of curvature. Find the formula expressing S as a linear function of C.

(Multiple Choice)

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Question 29

Suppose that the cost of purchasing CDs from a music club is a flat membership fee of $25 plus $10 for each CD purchased. If C is the cost in dollars and n is the number of CDs bought, then the amount of money you pay would be:

(Multiple Choice)

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Question 30

An exponential function y of t is characterized by the following property: When t increases by 1, to find the new value of y, we multiply the current value by _____.

(Multiple Choice)

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Question 31

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature (t), the speed of sound (S) increases by 1.1 feet per second. Find the relation between the S and t.

(Multiple Choice)

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Question 32

Suppose Mark's salary grows by $2500 each year and Sarah's salary grows by 2.5% each year. Which one has a salary that grows exponentially?

(Multiple Choice)

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Question 33

A salesman earns a base salary of $1500 a month plus 4% of his monthly sales. In that case:

(Multiple Choice)

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Question 34

Given a set of data points, the _____ line comes as close as possible to fitting those data.

(Multiple Choice)

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Question 35

What is the maximum value of the function ?

(Multiple Choice)

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Question 36

The graph of a quadratic function has a special shape known as a:

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Question 37

You have a 600-foot roll of fencing to enclose two separate rectangular playgrounds for different age groups. If the two playgrounds are identical and adjacent, and form a larger rectangular region, what is the largest possible area of the playgrounds in total?

(Multiple Choice)

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Question 38

An investment grows according to the rule: Next month's balance = 1.003 × Current balance. Find the percentage increase for one year.

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Question 39

The formula for an exponential function y of t is:

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Question 40

Showing 21 - 40 of 72

If the per capita growth rate of the world population continues to be what it was in the year 2000, the world population t years after July 1, 2000, will be 6.085 × 1.0121^t billion. According to this formula, when will the world population reach 9 billion?

This table shows the total number of patients diagnosed with the flu since an outbreak started: Find the formula for the linear function giving the number of diagnosed flu cases in terms of time if F is the number of flu patients diagnosed and d is time in days.

Cutting 7-inch-long squares from a square piece of cardboard and folding up the edges, you want to make an open box (without lid) with a square bottom, a height of 7 inches, and a volume of 252 cubic inches. What should be the dimension of the cardboard?

Suppose that a music club charges $12 per CD but offers a 5% discount on orders larger than 10 CDs. The cost per order is a linear function of the number of CDs ordered.

If the decibel of a sound is doubled, then the relative intensity will be:

Suppose that a rifle bullet follows a parabolic path given by , where both and are measured in feet. How far downrange will the bullet hit the ground?

Suppose that the cost of purchasing CDs from a music club is a flat membership fee of $25 plus $10 for each CD purchased. If C is the cost in dollars and n is the number of CDs bought, then the amount of money you pay would be:

An exponential function y of t is characterized by the following property: When t increases by 1, to find the new value of y, we multiply the current value by _____.

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature (t), the speed of sound (S) increases by 1.1 feet per second. Find the relation between the S and t.

Suppose Mark's salary grows by $2500 each year and Sarah's salary grows by 2.5% each year. Which one has a salary that grows exponentially?

A salesman earns a base salary of $1500 a month plus 4% of his monthly sales. In that case:

Given a set of data points, the _____ line comes as close as possible to fitting those data.

What is the maximum value of the function ?

The graph of a quadratic function has a special shape known as a:

You have a 600-foot roll of fencing to enclose two separate rectangular playgrounds for different age groups. If the two playgrounds are identical and adjacent, and form a larger rectangular region, what is the largest possible area of the playgrounds in total?

An investment grows according to the rule: Next month's balance = 1.003 × Current balance. Find the percentage increase for one year.

The formula for an exponential function y of t is:

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

Filters

Exam 3: Linear and Exponential Change: Comparing Growth Rates

If the per capita growth rate of the world population continues to be what it was in the year 2000, the world population t years after July 1, 2000, will be 6.085 × 1.0121t billion. According to this formula, when will the world population reach 9 billion?

This table shows the total number of patients diagnosed with the flu since an outbreak started: Find the formula for the linear function giving the number of diagnosed flu cases in terms of time if F is the number of flu patients diagnosed and d is time in days.

Cutting 7-inch-long squares from a square piece of cardboard and folding up the edges, you want to make an open box (without lid) with a square bottom, a height of 7 inches, and a volume of 252 cubic inches. What should be the dimension of the cardboard?

Suppose that a music club charges $12 per CD but offers a 5% discount on orders larger than 10 CDs. The cost per order is a linear function of the number of CDs ordered.

If the decibel of a sound is doubled, then the relative intensity will be:

Suppose that a rifle bullet follows a parabolic path given by , where both and are measured in feet. How far downrange will the bullet hit the ground?

Suppose that the cost of purchasing CDs from a music club is a flat membership fee of $25 plus $10 for each CD purchased. If C is the cost in dollars and n is the number of CDs bought, then the amount of money you pay would be:

An exponential function y of t is characterized by the following property: When t increases by 1, to find the new value of y, we multiply the current value by _____.

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature (t), the speed of sound (S) increases by 1.1 feet per second. Find the relation between the S and t.

Suppose Mark's salary grows by $2500 each year and Sarah's salary grows by 2.5% each year. Which one has a salary that grows exponentially?

A salesman earns a base salary of $1500 a month plus 4% of his monthly sales. In that case:

Given a set of data points, the _____ line comes as close as possible to fitting those data.

What is the maximum value of the function ?

The graph of a quadratic function has a special shape known as a:

You have a 600-foot roll of fencing to enclose two separate rectangular playgrounds for different age groups. If the two playgrounds are identical and adjacent, and form a larger rectangular region, what is the largest possible area of the playgrounds in total?

An investment grows according to the rule: Next month's balance = 1.003 × Current balance. Find the percentage increase for one year.

The formula for an exponential function y of t is:

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

Filters

If the per capita growth rate of the world population continues to be what it was in the year 2000, the world population t years after July 1, 2000, will be 6.085 × 1.0121^t billion. According to this formula, when will the world population reach 9 billion?