Point-Slope Form: Write and Graph Real-World Equations

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the equation in point-slope form using the point (1, 70).

• y - 70 = 30(x - 1)

• y - 70 = 15(x - 1)

• y - 70 = 20(x - 1)

• y - 70 = 25(x - 1)

A local gym has a membership fee of $30 and charges $15 per month. Write the equation in point-slope form using the point (0, 30).

• y - 30 = 15(x - 1)

• y - 30 = 15(x - 0)

• y - 30 = 20(x - 0)

• y - 30 = 10(x - 0)

A delivery service charges $5 for the first mile and $2 for each additional mile. Write the equation in point-slope form using the point (1, 7).

• y - 7 = 2(x - 1)

• y - 7 = 3(x - 1)

• y - 7 = 5(x - 1)

• y - 7 = 2(x + 1)

A phone plan costs $40 per month plus $0.10 per text message. Write the equation in point-slope form using the point (0, 40).

• y - 40 = 0.05(x - 0)

• y - 40 = 0.10(x - 1)

• y - 40 = 0.20(x - 0)

• y - 40 = 0.10(x - 0)

A bakery sells cupcakes for $3 each and has a fixed cost of $15 for supplies. Write the equation in point-slope form using the point (5, 30).

• y - 30 = 3(x + 5)

• y - 30 = 2(x - 5)

• y - 30 = 4(x - 5)

• y - 30 = 3(x - 5)

A taxi service charges a base fare of $2.50 and $1.50 per mile. Write the equation in point-slope form using the point (3, 6.50).

• y - 6.50 = 1.50(x - 3)

• y - 6.50 = 1.75(x - 3)

• y - 6.50 = 2.50(x - 3)

• y - 6.50 = 1.00(x - 3)

A concert ticket costs $25 and includes a $5 service fee. Write the equation in point-slope form using the point (0, 25).

• y - 25 = 20(x - 0)

• y - 25 = 30(x - 0)

• y - 25 = 25(x - 1)

• y - 25 = 25(x - 0)

A subscription box service charges $10 per box plus a one-time fee of $5. Write the equation in point-slope form using the point (1, 15).

• y - 15 = 15(x - 1)

• y - 15 = 10(x - 1)

• y - 15 = 5(x - 1)

• y - 10 = 10(x - 1)

A landscaping service charges $50 for the first hour and $30 for each additional hour. Write the equation in point-slope form using the point (1, 80).

• y - 80 = 20(x - 1)

• y - 80 = 30(x + 1)

• y - 80 = 30(x - 1)

• y - 80 = 50(x - 1)

A tutoring service charges $20 per hour with a registration fee of $10. Write the equation in point-slope form using the point (0, 10).

• y - 10 = 15(x - 0)

• y - 10 = 20(x - 0)

• y - 10 = 25(x - 0)

• y - 10 = 20(x - 5)