Linear Functions Review

The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.

Which of the following statements is true concerning the graph below?

• The slope is 1

• The slope is

• The slope is -1

Leonard pays a total of $16.50 for every 6 shirts he has dry-cleaned. Which graph models a relationship with the same unit rate?

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Which table represents a linear function?

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Functions A and B are both linear. Which statement comparing the functions is true?

• The slope of Function A is equal to the slope of Function B

• The slope of Function A is less than the slope of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

• The y-intercept of Function A is less than the y-intercept of Function B.

Which equation represents a linear function?

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Mr. Russell is renting a van for one day. The table below shows the total amount he will be charged for the van based on the number of miles he drives.

Which equation best represents c, the number of dollars Mr. Russell should be charged for driving m miles?

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What is the slope of a line that passes through the points (4, -2) and (-4, 6)

Which graph represents a linear relationship?

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Two families go on vacation and each take a different route. The families record the average speeds of their routes as a relationship of distance (miles) and time (hours). The relationship of distance, d, and time, t, is represented differently for each person.

Which TWO statements are true?

• The Smith family and Johnson family begin with equal initial distances.

• The Smith family begins with a greater initial distance than the Johnson family.

• The Smith family travels travels at a rate of 8 miles per hour faster than the Johnson family.

• The Johnson family begins with a greater initial distance than the Smith family.

• The Johnson family travels at a rate 8 miles per hour faster than the Smith family.