Constructing Linear Functions Answers

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?

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

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 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

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 below. Which of these statements is correct about the linear function that represents this situation?Amount of Data Stored on Jackie’s ComputerTime (year)01234Gigabytes of Data22 + 3.5 = 5.55.5 + 3.5 = 99 + 3.5 = 12.512.5 + 3.5 = 16

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?

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 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

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