Mastering Point-Slope Equations: Graphing & Conversion

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the point-slope equation for the total cost (C) based on miles driven (m) if the company charges $50 for 0 miles. Graph the equation and find the slope-intercept form.

• C - 50 = 0.20(m - 0) and C = 0.20m + 50

• C - 50 = 0.10(m - 0)

• C = 0.20m - 50

• C = 50m + 0.20

A school is planning a fundraiser and sells tickets for $15 each. If they sell 20 tickets, write the point-slope equation for the total revenue (R) based on the number of tickets sold (t). Graph the equation and convert it to slope-intercept form.

• R - 300 = 10(t - 20)

• R - 300 = 15(t - 20) or R = 15t

• R = 20t

• R = 15(t + 20)

A delivery service charges a base fee of $25 plus $1.50 per mile. If a delivery is made for 10 miles, write the point-slope equation for the total cost (C) based on miles (m). Convert this to slope-intercept form and graph it.

• C = 1.5m + 25

• C = 25m + 1.5

• C = 1.5m + 30

• C = 2m + 20

A landscaping company charges a flat rate of $200 for a service plus $50 for each additional hour worked. If they work for 3 hours, write the point-slope equation for the total cost (C) based on hours worked (h). Convert this to slope-intercept form and graph it.

• C = 50h + 200

• C = 50h - 200

• C = 200 + 50h + 100

• C = 200h + 50

A concert venue sells tickets for $60 each. If they sell 150 tickets, write the point-slope equation for the total revenue (R) based on the number of tickets sold (t). Graph the equation and convert it to slope-intercept form.

• R - 9000 = 60(t - 100)

• R = 30t

• R - 9000 = 60(t - 150) and R = 60t

• R - 9000 = 30(t - 150)

A taxi service charges a base fare of $3 plus $2 per mile. If a ride is 5 miles, write the point-slope equation for the total fare (F) based on miles (m). Convert this to slope-intercept form and graph it.

• F = 2m - 3

• F = 2m + 3

• F = 5m + 3

• F = 3m + 2

A subscription box service charges $25 per month plus $5 for each additional item. If a customer orders 4 items, write the point-slope equation for the total cost (C) based on the number of items (i). Graph the equation and convert it to slope-intercept form.

• C = 5i + 20

• C = 10i + 15

• C = 20i + 5

• C = 5i + 25

A bakery sells cupcakes for $3 each and has a fixed cost of $15 for supplies. If they sell 10 cupcakes, write the point-slope equation for the total revenue (R) based on the number of cupcakes sold (c). Convert this to slope-intercept form and graph it.

• R = 3c

• R = 3c + 15

• R = 10c

• R = 15 + 3c