Question 1

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?

Accepted Answer

A) 41.3 years after July 1, 2000 
B) 32.5 years after July 1, 2000 
C) 22.7 years after July 1, 2000 
D) 6.8 years after July 1, 2000

Question 2

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.

Accepted Answer

A) F = 21d + 0.7 
B) F = 0.7d + 21 
C) F = 1.4d + 21 
D) F = 2.1d + 0.7

Question 3

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?

Accepted Answer

A)   
B)   
C)   
D)

Question 4

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

Accepted Answer

The answer of The following table shows average life expectancy...

Question 5

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.

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A) doubled. 
B) squared. 
C) increased by a factor of 10. 
D) increased by a factor of 100.

Question 7

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?

Accepted Answer

A) 2000 feet 
B) 2200 feet 
C) 2500 feet 
D) 3000 feet

Question 8

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?

Accepted Answer

A) 42.35 mph 
B) 37.75 mph 
C) 57.15 mph 
D) 38.35 mph

Question 9

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.

Accepted Answer

A) S = 0.65C + 47.5 
B) S = 47.5C + 0.65 
C) S = 47.5C - 0.65 
D) S = -0.65C + 47.5

Question 10

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:

Accepted Answer

A) C = 25n + 10 
B) C = 10n + 25 
C) C = 25n - 10 
D) C = 10 - 25n

Question 11

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 _____.

Accepted Answer

A) t + 1 
B) t - 1 
C) the initial value 
D) the base

Question 12

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.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

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?

Accepted Answer

A) Mark 
B) Sarah 
C) Both 
D) Neither

Question 14

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

Accepted Answer

A)   
B)   
C)   
D)

Question 15

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

Accepted Answer

A) interpretation 
B) regression 
C) stabilizing 
D) growth

Question 16

What is the maximum value of the function ?

Accepted Answer

A) 200 
B) 230 
C) 250 
D) 280

Question 17

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

Accepted Answer

A) line. 
B) parabola. 
C) hyperbola. 
D) ellipse.

Question 18

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?

Accepted Answer

A)   
B)   
C)   
D)

Question 19

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

Accepted Answer

A) 0.003% 
B) 1.81% 
C) 0.3% 
D) 12.036%

Question 20

The formula for an exponential function y of t is:

Accepted Answer

A) y = Initial value × Base 
B) y = Initial value × (Base)t 
C) y = Base × (Initial value)t 
D) y = Initial value + (Base)t

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?

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: