Constructing Linear Functions

Question 1

The table of values below 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 MopedNumber of Minutes Brian Has Been Riding Moped0481216Number of Miles Traveled3.254.255.256.257.25

Revolt · Accepted Answer

0.25 miles per minute

Question 2

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

Revolt · Accepted Answer

Mary is filling 36 cups per minute, which is faster than Jorge.

Question 3

Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B?

Revolt · Accepted Answer

The initial values of the two functions are different, and the rates of change of the two functions are the same.

Question 4

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?

Revolt · Accepted Answer

$25

Question 5

The table of values below 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 AccountNumber of Months Working at Part-Time Job02468Amount in Savings Account (in dollars)$36$60$84$108$132

Revolt · Accepted Answer

$12 per month

Question 6

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

Revolt · Accepted Answer

The initial value is 32, and the rate of change is 1.

Question 7

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

Revolt · Accepted Answer

0.2 pounds

Question 8

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

Revolt · Accepted Answer

(18, 27), because the rate of change of the function is

Question 9

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value?Gas in Marco’s CarSeconds Spent Pumping Gas012243648Gallons of Gas in Car357911

Revolt · Accepted Answer

3 gallons

Question 10

Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the start line. Their distances past the start line as the race has progressed can be represented by linear functions and are shown in the table and graph below. How many minutes after the start of the race will Corinne catch Aretha?Corinne’s Distance Past the Start LineTime (minutes)1020304050Distance (miles)1.252.53.755.06.25

Revolt · Accepted Answer

140 minutes

Constructing Linear Functions Answers

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