Question 1

Which of the following equations represents a linear function in slope-intercept form?

Accepted Answer

$$f(x) = 5x + 7$$

Question 2

Given the function $$f(x) = -4x + 10$$, determine if the function is increasing, decreasing, or constant.

Accepted Answer

Decreasing

Question 3

A company charges a fixed fee of $$50 plus 12 $$per hour for consulting. Which equation models the total cost $$C$$ for $$h$$ hours?

Accepted Answer

$$C = 12h + 50$$

Question 4

If a linear function has a slope $$m = 0$$, what does its graph look like?

Accepted Answer

A horizontal line

Question 5

Molly has $$1700 and after 6 months she has 1130. $$What is the rate of change of her money per month?

Accepted Answer

$$-95$$ dollars per month

Question 6

The population of a city increased from 23,400 to 27,800 between 2008 and 2012. What is the average yearly change in population?

Accepted Answer

$$1,100$$ people per year$

Question 7

A farmer plants 4 stalks and gets 120 ounces of beans per plant. With 9 stalks, she gets 220 ounces per plant. What is the linear equation relating stalks $$x to $$yield $$y$$?

Accepted Answer

$$y = 20x + 40$$

Question 8

An airplane descends from 35,000 feet at a rate of 1,200 feet per minute. Which equation models its altitude $$h$$ after $$t$$ minutes?

Accepted Answer

$$h = 35,000 - 1,200t$$

Question 9

A recycling center pays $$20 for the first 10 pounds and 0.15 $$per pound over 10 pounds. Which function models the total earnings $$E$$ for $$x$$ pounds over 10?

Accepted Answer

$$E = 20 + 0.15x$$

Question 10

Which scatter plot below best represents a strong positive linear correlation?

Accepted Answer

A plot where points form a line sloping upward

Question 11

Given the correlation coefficient $$r = 0.99$$, what does this indicate about the data?

Accepted Answer

There is a strong positive linear relationship

Question 12

Which of the following is NOT a property of the correlation coefficient $$r$$?

Accepted Answer

$$r = 0$$ means a perfect linear relationship

Question 13

If the cost to skate at Rink A is $$5 + 2h$$ and at Rink B is $$3 + 3h$$, after how many hours will the costs be equal?

Accepted Answer

$$h = 2$$

Question 14

Which of the following best describes the relationship in the scatter plot of 'Cricket Chirps vs. Temperature'?

Accepted Answer

Strong positive correlation

Question 15

Which equation represents a constant function?

Accepted Answer

$$f(x) = 7$$

Question 16

If $$f(x) = mx + b$$ and $$m \u003c 0$$, which of the following is true?

Accepted Answer

The function is decreasing

Question 17

Which of the following best estimates the correlation coefficient for a scatter plot where the points are tightly clustered around a line sloping downward?

Accepted Answer

$$r = -0.99$$

Question 18

A magazine’s circulation was 1 million in 2004 and 2 million in 2014. Write a linear model for the number of readers $$N$$ $$t$$ years after 2000.

Accepted Answer

$$N = 0.1t + 1$$

Question 19

Which of the following is the correct formula for the slope between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \dfrac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 20

Which of the following scatter plots would indicate $$r = 0$$?

Accepted Answer

A plot where points are randomly scattered with no pattern

Linear Functions and Modeling with Linear Functions: Study Guide

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