Solving Linear Word Problems: Slope & Intercept Insights

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

• C = 0.20m + 15; slope = 0.20, y-intercept = 15

• C = 0.15m + 20; slope = 0.15, y-intercept = 20

• C = 0.15m + 30; slope = 0.15, y-intercept = 30

• C = 0.10m + 25; slope = 0.10, y-intercept = 25

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A gym charges a monthly fee of $30 plus $5 for each class attended. Write the equation for the total cost in slope-intercept form and explain the meaning of the slope.

• C = 30x + 5

• C = 5x

• C = 30 + 10x

• C = 30 + 5x

A phone plan costs $25 per month plus $0.10 per text message. Write the equation in slope-intercept form and interpret the y-intercept.

• y = 0.25x + 10; y-intercept is 10, meaning a discount on the plan.

• y = 0.10x + 25; y-intercept is 25, meaning the base cost of the plan.

• y = 0.10x + 15; y-intercept is 15, meaning a lower base cost.

• y = 25x + 0.10; y-intercept is 0.10, meaning the cost per text.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A delivery service charges a base fee of $10 plus $2 for each mile driven. Write the equation in slope-intercept form and graph it. What does the slope represent?

• y = 2x; The slope represents the base fee.

• y = 10x + 2; The slope represents the total cost.

• y = 5x + 10; The slope represents the cost per mile driven, which is $5.

• y = 2x + 10; The slope represents the cost per mile driven, which is $2.

A school is selling tickets for a play at $8 each. If they have a fixed cost of $200 for the venue, write the equation for total revenue in slope-intercept form and identify the y-intercept.

• R = 8q, y-intercept = 0

• R = 200 + 8q, y-intercept = 200

• R = 8q + 200, y-intercept = 200

• R = 8q - 200, y-intercept = -200

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A subscription service charges $12 per month plus a one-time fee of $50. Write the equation in slope-intercept form and interpret the y-intercept.

• C = 50m + 12; y-intercept is $12.

• C = 12m + 50; y-intercept is $12.

• C = 12m + 100; y-intercept is $100.

• C = 12m + 50; y-intercept is $50.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A taxi service charges a base fare of $5 plus $2 for each mile driven. Write the equation in slope-intercept form and explain the meaning of the y-intercept.

• y = 5x + 2; The y-intercept (2) means the cost per mile.

• y = 5 + 2x; The y-intercept (2) represents the total fare after 1 mile.

• y = 2x - 5; The y-intercept (-5) indicates a discount on the base fare.

• y = 2x + 5; The y-intercept (5) means the base fare charged by the taxi service.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A concert venue has a fixed cost of $1000 and sells tickets for $50 each. Write the equation for total revenue in slope-intercept form and identify the slope.

• R = 50q, slope = 50

• R = 50q + 1000, slope = 1000

• R = 50q - 1000, slope = 50

• R = 1000 + 50q, slope = 1000