Equations and Slope: Solving Real-World Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation that represents the total cost (C) in terms of miles driven (m).

• C = 20 + 0.15m

• C = 20 + 0.10m

• C = 20 - 0.15m

• C = 0.15m

If a person walks at a speed of 3 miles per hour, how far will they walk in t hours? Write the equation for distance (d) in terms of time (t).

• d = 1.5t

• d = 3t^2

• d = 3t

• d = 6t

A cell phone plan costs $30 per month plus $0.10 per text message. Write an equation for the total monthly cost (C) based on the number of text messages (m) sent.

• C = 0.10 + 30m

• C = 30 + 0.05m

• C = 30 + 0.10m

• C = 30m + 0.10

A store sells notebooks for $2 each and pens for $1 each. If a student buys n notebooks and p pens, write an equation for the total cost (T).

• T = n + 2p

• T = 2n + p

• T = 3n + p

• T = 2n - p

A gardener plants flowers in a straight line. If he plants 5 flowers every hour, write an equation for the total number of flowers (F) planted after h hours.

• F = 5h

• F = h/5

• F = 5h + 2

• F = 10h

A taxi charges a base fare of $3 plus $2 for each mile driven. Write the equation for the total fare (F) based on the number of miles (m) driven.

• F = 2m + 3

• F = 3m + 2

• F = 3 + 2m

• F = 5 + 2m

A factory produces 100 toys per hour. Write an equation for the total number of toys (T) produced after h hours.

• T = 100 + h

• T = h/100

• T = 100h + 50

• T = 100h

A subscription service charges $10 per month plus $5 for each additional movie rented. Write the equation for the total cost (C) based on the number of movies rented (m).

• C = 15 + 5m

• C = 5 + 10m

• C = 10m + 5

• C = 10 + 5m

A bike rental shop charges a flat fee of $15 plus $0.50 for each hour rented. Write the equation for the total cost (C) based on the number of hours (h) rented.

• C = 15 + 0.50h

• C = 0.50h - 15

• C = 15 + 0.25h

• C = 15h + 0.50

A school is planning a field trip. The cost per student is $25, and there are s students attending. Write an equation for the total cost (C) of the trip.

• C = 25s + 10

• C = 25s

• C = 25 + s

• C = s - 25