Linear Function Models

A college has two classrooms of students. • Classroom A had 70 students. • Classroom B had 30 students. • Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students. The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students. 70 - 4x = 30 + 4x How many groups did Classroom A send to Classroom B?

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A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

• t = 15w − 275

• t = −15w + 275

• t = 275w − 15

• t = −275w + 15

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

Which equation represents the function?

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A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use toward the total cost of the markers bought.

Which table shows the relationship between x, the number of sets of markers bought by the teacher, and y, the total cost of the markers?

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Which set of ordered pairs represents y as a function of x?

• <(0, 0.5), (2, 1.5), (−5.5, 5), (−5.5, −6)>

• <(5, −7), (3, −7), (−9.2, −7), (9.2, −7)>

• <(9.3,-1), (7.3, -2), (7.3, 2), (9.3, 1)>

• <(8.1, 9), (9.1, 10), (10.1, 9), (9.1, 8)>

The scatterplot shows the height in centimeters and weight in kilograms of several students.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

• 152 cm

• 160 cm

• 162 cm

• 156 cm

Triangle KLM and triangle PRS are similar right triangles.

Which proportion can be used to show that the slope of KM is equal to the slope of PS?

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Which pair of points models the linear function

• (-3, 3), (0,4)

• (3,4), (-3,0)

• (4, -3), (0,3)

Tags

8.F.4

Which pair of points models the linear function

• (-3, 3), (0,4)

• (3,4), (-3,0)

• (4, -3), (0,3)

Tags

8.F.4

Which pair of points models the linear function

• (-3, 3), (0,4)

• (3,4), (-3,0)

• (4, -3), (0,3)

Tags

8.F.4