Constructing Linear Functions Answers

Eric received a gift card worth $25 as a birthday present. He is spending $2.50 per day using the gift card, as shown in the graph below. Which statement is true about the linear function that represents his gift card spending?

The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?Amount of Money in a Tip Jar at a Dry CleanersNumber of Hours Since Dry Cleaners Opened45678Amount of Money in Tip Jar ($)15.5018.2521.0023.7526.50

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and why?x036912y37111519

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?Richard’s Distance Past the Start LineTime (minutes)510152025Distance (kilometers)2.83.44.04.65.2

The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?

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

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 below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?Mary’s Cup-Filling ProgressTime (minutes)0.511.522.5Cups Remaining9981634527

The table of values below 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 KittenKitten’s Age (weeks)246810Weight (pounds)0.81.42.02.63.2

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it?