Linear Functions and Proportionality

Triangle DEF and triangle GHI are similar right triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hypotenuse of triangle GHI cannot be determined.

• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

Triangle MNP and triangle JKL are similar right triangles.

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On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?

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A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year?

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An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?

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Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph's average rate of speed during the race?

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The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function?

• -6

• 6

• -10

• -4

A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered. Simplify your answer.

• -10

• -10/2

• -5

• -5/2

A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. Which statement is true?

• The additional fee per yoga class is $3. 75.

• The additional fee per yoga class is $8.25.

• The membership fee is $35.00.

• The membership fee is $42.50

Carolyn will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Carolyn will have at the end of x months. How many stamps was Carolyn given, and how many stamps will she buy every month?

• Carolyn was given 200 stamps, and she will buy 50 stamps every month.

• Carolyn was given 180 stamps, and she will buy 70 stamps every month.

• Carolyn was given 180 stamps, and she will buy 50 stamps every month.

• Carolyn was given 200 stamps, and she will buy 70 stamps every month.