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.

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.

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.

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

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

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Which company shows a greater rate of change?

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

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Who has the greater rate of change?

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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

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