Module 4, Topic 1 Review

The owner of a go-kart racetrack would like to have a ratio of 2 red racers for every 3 green mini-trucks. The racetrack currently has 11 red racers and 21 mini-trucks. Which equation could she use to determine x, the number of additional red racers she should purchase in order to achieve the desired ratio?

• D. no solution.

Unplug It! Plumbing charges an hourly fee of $85, plus a one-time base fee of $115 to diagnose any issue. Which equation gives the average cost y in dollars for x hours of plumbing?

• y = 85

• y = 85x + 115

Jamie can cut the lawn in 45 minutes. Her sister Jessica can cut the lawn in 35 minutes. Is it reasonable for the two of them working together to cut the lawn in less than 25 minutes?

• Yes, the time will be about 15 minutes.

• Yes, the time will be about 20 minutes.

• No, the time would be about 30 minutes.

• No, the time would be about 40 minutes.

The time (t), in hours, required to paint a house is inversely proportional to the number of painters, p. If it takes 20 hours for 3 painters to paint a house, how long will it take 5 painters to paint the same house?

• 12

• 10

• 15

• 18

• -2x + 3

Eric and Daniel are graphic designers. Eric charges a setup fee of $50 plus $8 per page to post a newsletter on a website. Daniel charges $100 for unlimited pages. Determine the number of pages for which Eric and Daniel charge the same price.

• Eric and Daniel charge the same amount for 6.25 pages.

• Eric and Daniel charge the same amount for 5 pages.

• Eric and Daniel charge the same amount for 10 pages.

• Eric and Daniel charge the same amount for 7.5 pages.

• 15

• 5x + 2x - 6

• 5x + 2x - 6x

• x = 5

• x = 3

• x = 4

• x = 6