Mastering Point-Slope: Real-World Cost Problems

A local gym charges a membership fee of $30 and $10 per class attended. If a member attends 5 classes, write the point-slope equation for the total cost. Then convert it to slope-intercept form.

• C = 10x + 20

• C = 10x + 30

• C = 30x + 0

• C = 20x + 10

A phone plan costs $25 per month plus $0.10 per minute used. If a customer uses 200 minutes in a month, write the point-slope equation for the total cost. Convert it to slope-intercept form.

• C = 0.25m + 10

• C = 0.05m + 15

• C = 0.10m + 20

• C = 0.10m + 5

A delivery service charges a base fee of $15 plus $2 for each mile driven. If a delivery is made to a location 10 miles away, write the point-slope equation and convert it to slope-intercept form.

• y = 5x + 15

• y = 2x + 15

• y = 15x + 2

• y = 2x + 10

A school is planning a field trip that costs $200 for the bus plus $5 per student. If 30 students sign up, write the point-slope equation for the total cost and convert it to slope-intercept form.

• C = 5x + 100

• C = 5x + 200

• C = 200x + 5

• C = 10x + 200

A bakery sells cupcakes for $3 each and has a fixed cost of $50 for supplies. Write the point-slope equation for the total revenue if 20 cupcakes are sold. Convert it to slope-intercept form.

• R = 3x

• R = 3x + 50

• R = 50 + 3x

• R = 20x

A concert venue charges a flat fee of $1000 plus $25 per ticket sold. If 40 tickets are sold, write the point-slope equation for the total revenue and convert it to slope-intercept form.

• R = 25x - 1000

• R = 1000 + 25x^2

• R = 25x + 1000

• R = 1000x + 25

A taxi service charges a base fare of $2.50 plus $1.50 per mile. If a ride is 5 miles long, write the point-slope equation for the total fare and convert it to slope-intercept form.

• T = 1.50m - 5.00

• T = 1.50m + 2.50

• T = 1.50m - 2.50

• T = 2.50m + 1.50

A farmer sells apples for $1.50 each and has a fixed cost of $100 for equipment. Write the point-slope equation for the total revenue if 60 apples are sold. Convert it to slope-intercept form.

• R = 1.50x

• R = 1.50(60)

• R = 1.50x + 100

• R = 100 + 1.50x

A subscription box service charges $10 per box plus a one-time fee of $5 for shipping. If a customer orders 4 boxes, write the point-slope equation for the total cost and convert it to slope-intercept form.

• C = 15x + 5

• C = 10x + 5

• C = 10x + 10

• C = 5x + 10