construct function to model linear relationship

Mr. Lewis is having the exterior of his house painted. The painters charge $35 per hour plus the cost of materials. After 20 hours of work, Mr. Lewis owes the painters $840. Which equation could represent this situation?

• 840 = 35 x + 20

• 840 = 35 x + 45

• y = mx

• 20=840 x + 20

What is the initial value?

• 12

• 20

• 36

• 44

Tags

CCSS.8.F.B.4

What is the cleaning cost per hour (slope)? (hrs are the x values)

• 8

• 20

• 12

• 28

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Write an equation for the cleaning cost, y, for the number of hours, x. Put in y = mx + b form.

• y = 12x + 20

• y = 20x + 8

• y = 8x

• y = 8x + 20

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

The table shows a linear relationship between the distance Penelope is from the park as she walks to soccer practice. Find the rate of change. Hint: her distance is getting closer.

• 110 meters per minute

• 550 meters per minute

• -110 meters per minute

• 550 meters per minute

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Write an equation for the line that represents Penelope's distance, y, from soccer practice after x minutes. Use y = mx + b.

• y = -110x + 2480

• y = 110x + 2000

• y = -110x +2040

• y = 5x +1930

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3