Finding Slope in Real-World Cost Problems for 8th Grade

1. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m) and identify the slope.

• C = 30 + 0.50m; slope = 0.50

• C = 30 + 0.10m; slope = 0.10

• C = 30 + 0.20m; slope = 0.20

• C = 20 + 0.20m; slope = 0.20

2. A local gym charges a monthly membership fee of $25 and an additional $10 for each fitness class attended. Convert the equation for total cost (C) in terms of classes attended (c) to slope-intercept form and identify the slope.

• The slope is 10.

• The slope is 25.

• The slope is 5.

• The slope is 15.

3. A school is selling tickets for a play. The tickets cost $5 each, and there is a $50 flat fee for the venue. Write the equation for total revenue (R) in terms of tickets sold (t) and identify the slope.

• R = 5t - 50; slope = 5

• R = 5t + 50; slope = 5

• R = 10t + 50; slope = 10

• R = 50t + 5; slope = 50

4. A delivery service charges a base fee of $15 plus $1.50 per mile. Convert the equation for total charge (C) in terms of miles (m) to slope-intercept form and identify the slope.

• The slope is 15.

• The slope is 1.50.

• The slope is $0.75.

• The slope is $2.00.

5. A phone plan costs $40 per month plus $0.10 per text message sent. Write the equation for total cost (C) in terms of text messages (x) and identify the slope.

• C = 30 + 0.10x; slope = 0.10

• C = 40 + 0.20x; slope = 0.20

• C = 40 + 0.05x; slope = 0.05

• C = 40 + 0.10x; slope = 0.10

Tags

CCSS.HSF.LE.B.5

6. A bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Convert the equation for total sales (S) in terms of cupcakes sold (c) to slope-intercept form and identify the slope.

• The slope is 3.

• The slope is 20.

• The slope is 5.

• The slope is 1.

7. A taxi company charges a base fare of $2.50 and $0.75 per mile. Write the equation for total fare (F) in terms of miles driven (m) and identify the slope.

• F = 2.50 + 1.00m; slope = 1.00

• F = 2.50 + 0.75m; slope = 0.75

• F = 2.50 - 0.75m; slope = -0.75

• F = 3.00 + 0.50m; slope = 0.50

8. A subscription service charges $15 per month plus $5 for each additional movie rented. Convert the equation for total cost (C) in terms of movies rented (m) to slope-intercept form and identify the slope.

• The slope is 10.

• The slope is 0.

• The slope is 15.

• The slope is 5.

9. A concert venue has a fixed cost of $1000 and charges $20 per ticket sold. Write the equation for total revenue (R) in terms of tickets sold (t) and identify the slope.

• R = 20t - 500; slope = 20

• R = 1000t + 20; slope = 1000

• R = 20t - 1000; slope = 20

• R = 20t + 1000; slope = 20

Tags

CCSS.HSF.LE.B.5

10. A landscaping company charges a flat fee of $50 plus $25 per hour of work. Convert the equation for total cost (C) in terms of hours worked (h) to slope-intercept form and identify the slope.

• The slope is 15.

• The slope is 50.

• The slope is 30.

• The slope is 25.