Unit 1 Learning Checkpoint 2

Jimmy is buying balloons and party hats for his little sister's birthday party. The party store charges $1.50 for each bag of balloons and $6.00 for each package of hats. Which of the following equations could be used to determine different combinations of b bags of balloons and h packages of party hats that he could buy for a total of $24?

Franklin sells hot dogs from his food truck. Franklin models the relationship between the highest temperature on a given day and the number of hot dogs he sold on that day with a linear function. Using data from 7 randomly selected days in one month, Franklin creates a scatterplot and draws a trend line, as shown in the figure. Using the equation of the trend line, which of the following is closest to the predicted number of hot dogs that Franklin will sell on a day when the highest temperature is 87 degrees?

• 150

• 170

• 185

• 191

A drama club is hosting a 90-minute talent show. The organizers are creating a schedule to fit all the acts in the time for the show. Musical performances that include songs, instruments or dance are given 5 minutes each, including setup time. Talking performances that include poetry, comedy or magic are given 4 minutes each, including setup time. If m represents the number of musical performances and t represents the number of talking performances that could be scheduled using exactly 90 minutes, which of the following equations represents this scenario.

• 32.5

• 40.5

• 42.0

• 51.5

• A

• E

• F

• G

Mario works overtime during one week at his job. He earns $15 an hour for the first 40 hours he works in a week. He then earns an additional $5 an hour for each hour worked between 40 and 60 hours. If Mario’s earnings are graphed in an xy-plane, which of the following coordinates would represent a point that can be used to determine the amount Mario earns for working 50 hours?

• (1,000, 50)

• (800, 50)

• (50, 800)

• (50, 1,000)

• Kumar can drive the car 138 miles in the city and 200 miles on the highway using one tank of gas.

• Kumar can drive the car 200 miles in the city and 138 miles on the highway using one tank of gas.

• For each 138 miles Kumar drives the car in the city, he drives 200 miles on the highway.

• For each 200 miles Kumar drives the car in the city, he drives 138 miles on the highway.

Addie runs on a treadmill daily. After each run, he records the time, in minutes, spent on the treadmill and the number of calories he burned. The data are plotted in the graph. Which of the following linear equations best models the relationship between the calories burned and time?