Question 1

In the linear function y = mx + b, b is the:

Accepted Answer

A) growth rate. 
B) slope. 
C) initial value. 
D) balance. 
A) growth rate. 
B) slope. 
C) initial value. 
D) balance.

Question 2

How many times more intense is a 6.0 magnitude earthquake than a 3.0 magnitude earthquake?

Accepted Answer

A) 2 
B) 3 
C) 100 
D) 1000 
A) 2 
B) 3 
C) 100 
D) 1000

Question 3

Suppose that in January there is a magnitude 4.5 earthquake hitting the East Coast of the United States. Six months later, a magnitude 6.5 earthquake hits the West Coast. How many times more intense was the West Coast quake than the East Coast quake?

Accepted Answer

A) 2 
B) 10 
C) 100 
D) 1000 
A) 2 
B) 10 
C) 100 
D) 1000

Question 4

An ordinary sheet of paper is about a tenth of a millimeter thick. Find an exponential formula that gives the thickness, T, in millimeters after n folds.

Accepted Answer

A) T = 0.1 × 2n 
B) T = 0.1 × 4n 
C) T = 0.2 × (0.5)n 
D) T = 0.1 × (0.5)n 
A) T = 0.1 × 2n 
B) T = 0.1 × 4n 
C) T = 0.2 × (0.5)n 
D) T = 0.1 × (0.5)n

Question 5

For traffic that flows on a highway, the headway is the average time between vehicles. On four-lane highways, the probability P (as a decimal) that the headway is at least t seconds when there are 500 vehicles per hour traveling one way is given by P = 0.87t. Under these circumstances, what is the probability that the headway is at least 15 seconds?

Accepted Answer

A) 13.05% 
B) 12.38% 
C) 11.45% 
D) 10.55% 
A) 13.05% 
B) 12.38% 
C) 11.45% 
D) 10.55%

Question 6

If a population grows exponentially as time increases, then time _____ as population increases.

Accepted Answer

A) grows exponentially 
B) grows logarithmically 
C) decays exponentially 
D) decays logarithmically 
A) grows exponentially 
B) grows logarithmically 
C) decays exponentially 
D) decays logarithmically

Question 7

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . What is the maximum height in feet of the ball?

Accepted Answer

A) 256 feet 
B) 260 feet 
C) 264 feet 
D) 268 feet 
A) 256 feet 
B) 260 feet 
C) 264 feet 
D) 268 feet

Question 8

A new laptop computer selling for $899 in January fell in price to $719 in six months. Assuming the relationship of price to time is linear, determine the decrease in price over each month.

Accepted Answer

A) $45 
B) $40 
C) $35 
D) $30 
A) $45 
B) $40 
C) $35 
D) $30

Question 9

In an area prone to earthquakes there is a 6.9 magnitude quake. Two years before there was a 6.6 magnitude quake. The relative intensity of the 6.9 quake was about twice that of the 6.6 quake.

Accepted Answer

A) True 
 B)False

Question 10

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature, the speed of sound increases by 1.1 feet per second. If the speed of sound is 1131.5 feet per second, then the temperature is _____ degrees Fahrenheit.

Accepted Answer

A) 72 
B) 77 
C) 82 
D) 87 
A) 72 
B) 77 
C) 82 
D) 87

Question 11

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . How many seconds does the ball take to reach its maximum height?

Accepted Answer

A) 4.0 seconds 
B) 4.5 seconds 
C) 5.0 seconds 
D) 5.5 seconds 
A) 4.0 seconds 
B) 4.5 seconds 
C) 5.0 seconds 
D) 5.5 seconds

Question 12

A walkway of a park has the shape of a right triangle with three side lengths . Find the perimeter of the right triangle.

Accepted Answer

A) 240 
B) 270 
C) 285 
D) 300 
A) 240 
B) 270 
C) 285 
D) 300

In the linear function y = mx + b, b is the:

How many times more intense is a 6.0 magnitude earthquake than a 3.0 magnitude earthquake?

Suppose that in January there is a magnitude 4.5 earthquake hitting the East Coast of the United States. Six months later, a magnitude 6.5 earthquake hits the West Coast. How many times more intense was the West Coast quake than the East Coast quake?

An ordinary sheet of paper is about a tenth of a millimeter thick. Find an exponential formula that gives the thickness, T, in millimeters after n folds.

If a population grows exponentially as time increases, then time _____ as population increases.

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . What is the maximum height in feet of the ball?

A new laptop computer selling for $899 in January fell in price to $719 in six months. Assuming the relationship of price to time is linear, determine the decrease in price over each month.

In an area prone to earthquakes there is a 6.9 magnitude quake. Two years before there was a 6.6 magnitude quake. The relative intensity of the 6.9 quake was about twice that of the 6.6 quake.

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature, the speed of sound increases by 1.1 feet per second. If the speed of sound is 1131.5 feet per second, then the temperature is _____ degrees Fahrenheit.

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . How many seconds does the ball take to reach its maximum height?

A walkway of a park has the shape of a right triangle with three side lengths . Find the perimeter of the right triangle.

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

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Exam 3: Linear and Exponential Change: Comparing Growth Rates

In the linear function y = mx + b, b is the:

How many times more intense is a 6.0 magnitude earthquake than a 3.0 magnitude earthquake?

Suppose that in January there is a magnitude 4.5 earthquake hitting the East Coast of the United States. Six months later, a magnitude 6.5 earthquake hits the West Coast. How many times more intense was the West Coast quake than the East Coast quake?

An ordinary sheet of paper is about a tenth of a millimeter thick. Find an exponential formula that gives the thickness, T, in millimeters after n folds.

If a population grows exponentially as time increases, then time _____ as population increases.

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . What is the maximum height in feet of the ball?

A new laptop computer selling for $899 in January fell in price to $719 in six months. Assuming the relationship of price to time is linear, determine the decrease in price over each month.

In an area prone to earthquakes there is a 6.9 magnitude quake. Two years before there was a 6.6 magnitude quake. The relative intensity of the 6.9 quake was about twice that of the 6.6 quake.

The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every degree of rise in temperature, the speed of sound increases by 1.1 feet per second. If the speed of sound is 1131.5 feet per second, then the temperature is _____ degrees Fahrenheit.

A ball is hit upward with an initial velocity of 128 feet per second. After seconds, its height is given by the function . How many seconds does the ball take to reach its maximum height?

A walkway of a park has the shape of a right triangle with three side lengths . Find the perimeter of the right triangle.

Critical Thinking

Analysis of Growth

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Geometry

Filters