AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYPatterns of Change in Linear and Exponential Functions

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1
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What does the base in an exponential function f of x is equal to A times b to the x th power indicate?

A
The constant rate at which the graph curves.
B
The constant difference by which the function changes.
C
The constant amount by which the function decreases.
D
The constant factor by which the function grows or decays.
2
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How does the graph of a linear function typically look?

A
It displays as a straight path.
B
It curves upwards as x increases.
C
It is vertical.
D
It looks like a "U" shape.
3

Which distinguishes an exponential growth function from an exponential decay function?

A
The growth function becomes steeper as x increases.
B
The decay function has a base greater than 1 .
C
The growth function has a base between 0 and 1 .
D
The decay function has a negative base.
4

Read the scenario. Sarah practices the piano for 30 minutes every day, increasing her total time by half an hour each day. How does this scenario show a constant rate of change between two quantities?

A
The rate of improvement is dependent on the duration of practice.
B
Sarah’s piano skills improve at a constant rate each day.
C
The time spent practicing increases by the same amount each day.
D
The time Sarah practices corresponds to the day of the week.
6

What does the slope of a linear function represent?

A
The variable rate of change in y .
B
The constant change in y for each unit increase in x .
C
The point where the line crosses the y -axis.
D
The rate at which the y -value decreases.
7

Read the scenario. A car's speed increases from 0 to 60 miles per hour in 5 seconds and remains steady. Does this scenario show one quantity changing at a constant rate relative to another?

A
Yes, because the car is always moving.
B
Yes, because the car’s speed increases steadily.
C
No, because the car could be affected by road conditions.
D
No, because the car's acceleration lasts only 5 seconds.

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