Constructing Linear Functions — Quiz Answers

The table of values shown represents a linear function and shows the weight of a kitten as it has grown. What is the output for the initial value? Weight of a Kitten Kitten’s Age (weeks) 2 4 6 8 10 Weight (pounds) 0 point 8 1 point 4 2 point 0 2 point 6 3 point 2

During 30 minutes on the treadmill, LaToya burned 20 calories per minute. What is the rate of change of the function that represents this situation?

The table of values shown represents a linear function. Which of these points could also be an ordered pair in the table, and why? x 0 3 6 9 12 y 3 7 11 15 19

Julia is saving money for summer camp. She saves the same amount of money each week. Week Amount ($) 3 75 4 100 5 125 How much will Julia add to her savings over the next 3 weeks? Enter your answer in the box.

The table of values shown represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings? Amount in Juanita’s Savings Account Number of Months Working at Part-Time Job 0 2 4 6 8 Amount in Savings Account (in dollars) $36 $60 $84 $108 $132

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function that represents this situation?

Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct? Mary’s Cup-Filling Progress Time (minutes) 0 point 5 1 1 point 5 2 2 point 5 Cups Remaining 99 81 63 45 27

A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 plus 3 point 5 is equal to 5 point 5 5 point 5 plus 3 point 5 is equal to 9 9 plus 3 point 5 is equal to 12 point 5 12 point 5 plus 3 point 5 is equal to 16

The table of values represents a linear function and shows the number of miles on the odometer of Brian’s moped since he started riding it. What is Brian’s speed? Miles on the Odometer of Brian’s Moped Number of Minutes Brian Has Been Riding Moped 0 4 8 12 16 Number of Miles Traveled 3 point 2 5 4 point 2 5 5 point 2 5 6 point 2 5 7 point 2 5

The linear function graphed represents the height of a stalk of corn since a farmer began using a new fertilizer. What is the initial value?