Slope-Intercept Form: Interpret and Solve for y (Grade 8)

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and interpret the slope in this context.

• C = 0.10m + 20; The slope (0.10) indicates that for each additional mile driven, the cost decreases by $0.10.

• C = 20m + 0.15; The slope (20) indicates the cost per mile is $20.

• C = 0.15m + 20; The slope (0.15) indicates that for each additional mile driven, the cost increases by $0.15.

• C = 0.15m + 10; The slope (0.15) indicates a $0.15 discount for each mile driven.

A gym charges a monthly fee of $30 plus $5 for each class attended. What is the slope of the equation, and what does it represent?

• 30

• 10

• 15

• 5

A delivery service charges a base fee of $10 plus $2 for each mile driven. Write the equation in slope-intercept form and calculate the total cost for a delivery of 15 miles.

• $30

• $40

• $50

• $25

A school is raising funds by selling cookies. They sell each box for $5, and they have a fixed cost of $50 for supplies. Write the equation in slope-intercept form and interpret the slope.

• P = 10x - 50; slope = 10

• P = 5x - 25; slope = 5

• P = 5x - 50; slope = 5

• P = 5x + 50; slope = 5

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation in slope-intercept form and determine the cost for a 10-mile ride.

• $23

• $30

• $18

• $15

A subscription service charges $12 per month plus a one-time fee of $50. Write the equation in slope-intercept form and find the total cost after 6 months.

• $150

• $122

• $72

• $100

A local farmer sells apples for $2 per pound and has a fixed cost of $10 for packaging. Write the equation in slope-intercept form and interpret the slope in this context.

• y = 2x + 5

• y = 2x - 10

• y = 3x + 10

• y = 2x + 10

A concert ticket costs $50 plus a service fee of $5 per ticket. Write the equation in slope-intercept form and calculate the total cost for 4 tickets.

• $250

• The total cost for 4 tickets is $220.

• $200

• $180

A bookstore sells novels for $15 each and has a fixed cost of $100 for inventory. Write the equation in slope-intercept form and interpret the slope.

• y = 15x + 15

• y = 15x - 100

• y = 100x - 15

• y = 15x + 100