Construct and Interpret Linear Functions

Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of days and y represents the total number of pages read.

Tags

CCSS.HSF-LE.A.1B

Maria collects baseball cards. She collects 20 cards each week. After 9 weeks, Maria has 250 cards. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of weeks and y represents the total number of baseball cards collected.

Tags

CCSS.HSF.LE.B.5

Sally sews squares on a quilt. She sews 7 squares in 1 hour. After 5 hours, Sally has sewn 43 squares. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of hours and y represents the total number of squares sewn.

Tags

CCSS.HSF.LE.B.5

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company shows a greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change for each function, and which one has the greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has the greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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.F.B.4

CCSS.HSF.LE.A.2

Write an equation in y = mx + b form for the cost, y, to belong to the gym for x months.

• y = 35x + 40

• y = 40x + 35

• y = 35 x + 70

• y = 75x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2