Slope and Standard Form: Solving Real-World Problems

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in point-slope form to represent the total cost (C) based on the number of miles driven (m). What is the slope in this context?

• The slope is $50.

• The slope is 0.20.

• The slope is 0.50.

• The slope is $0.10.

A gardener is planting flowers in a rectangular garden. The cost of planting is $200 plus $15 per flower. Write the equation in point-slope form for the total cost (C) based on the number of flowers (f) planted. What does the slope represent?

• C - 200 = 10(f - 0)

• C - 200 = 15(f - 0)

• C - 15 = 200(f - 1)

• C = 15f + 200

A phone plan costs $40 per month plus $0.10 per text message sent. Write the equation in standard form to represent the total cost (C) based on the number of text messages (t) sent. What does the slope indicate about the cost?

• C = 0.10t + 40

• C = 40 + 0.10t

• 0.10C - t = -40

• 0.10t - C = -40

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 in point-slope form for the total revenue (R) based on the number of tickets sold (n). What does the slope represent in this scenario?

• R = 5(n - 10) + 0; slope = 5

• R = 0(n - 10) + 50; slope = 0

• R = 5n + 50; slope = 50

• R = 10(n - 5) + 50; slope = 10

A delivery service charges a base fee of $15 plus $2 per mile. Write the equation in standard form to represent the total charge (C) based on the distance (d) in miles. How does the slope relate to the cost per mile?

• C = 15 + 2d

• C = 2d - 15

• C = 15d + 2

• 2d - C = -15

A concert venue has a fixed cost of $1000 and charges $25 per ticket sold. Write the equation in point-slope form for the total revenue (R) based on the number of tickets sold (t). What does the slope tell you about the revenue?

• R = 25(t - 0) + 1000

• R = 1000 + 25(t - 1)

• R = 25t + 1000

• R = 25(t + 1000)

A bakery sells cupcakes for $3 each and has a fixed cost of $50 for ingredients. Write the equation in standard form to represent the total cost (C) based on the number of cupcakes (c) sold. What does the slope indicate about the cost per cupcake?

• C = 3c + 50

• -3c + C = 50

• C = 50 - 3c

• C = 3c - 50

A taxi service charges a flat rate of $3 plus $1.50 per mile. Write the equation in point-slope form for the total fare (F) based on the number of miles (m) driven. What does the slope represent in this context?

• F = 1.50m + 3 and the slope is 3.

• F - 3 = 2(m - 0) and the slope is 2.

• F - 3 = 1(m - 0) and the slope is 1.

• F - 3 = 1.50(m - 0) and the slope is 1.50.

A subscription box service charges $20 per month plus a one-time fee of $10 for shipping. Write the equation in standard form to represent the total cost (C) based on the number of months (m) subscribed. How does the slope relate to the monthly cost?

• C = 20m - 10

• C = 30m + 10

• C = 20m + 10

• C = 10m + 20