Linear Functions

Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the points in the table.

What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?

• 0

• 1

• 0.5

• -0.5

What is the slope of a line parallel to the graph of 3x-5y= 18  ?

• -5/3

• 3/5

• 5/3

• -3/5

Ray works at a grocery store. The table shows the relationship between the number of hours Ray works and the amount of money he earns. If this pattern continues, how much will Ray earn after working 10 hours?

• $100.00

• $62.50

• $6.25

What is the y-intercept of the line that passes through the points (1, 0) and (2, −2)?

• 2

• 1

• -2

• 0

Susanne documented that Venus completed its first orbit around the sun on day 18, its second orbit on day 244, and its third orbit on day 470. On what day will Venus complete its 11th orbit around the sun?

• 1253

• 198

• 2278

• 1342

A lawn service company uses the function f(x) = 2.5x + 25 to determine the cost for x hours of service. What does the constant term in the equation represent?

• the total number of hours of lawn service provided

• the initial fee the company charges before providing lawn care services

• the total cost for lawn service

• the cost per hour of lawn service

The math club is selling silk-screened T-shirts as a fundraiser. The T-shirt company charges a one-time set-up fee of $125.00 for the artwork and $0.50 to screen each T-shirt. Undecorated shirts cost $5.00 each. Which equation models the cost (C) of x number of silk-screened T-shirts?

• C=125+0.5x

• C=125-5x

• C=125+5.5x

• C=125x+5.5

A pizza restaurant charges a flat fee for a plain cheese pizza. There is an extra charge for any additional toppings. The cost of a pizza can be determined from the equation C = 0.5m + 5, where m is the number of additional toppings and C is the cost of the pizza ordered. What are the interpretations of slope and y-intercept in the equation?

• slope: cost per additional topping

  y-intercept: cost of the plain pizza

• slope: cost per additional topping

  y-intercept: cost of the first topping

• slope: cost of the plain pizza

  y-intercept: cost per additional topping

• slope: ratio of cost of additional topping to the cost of the plain pizza

  y-intercept: cost of an additional topping

The table below shows the number of miles Paul ran over five days. What is the approximate average rate of change in the number of miles Paul ran from day 2 to day 5?

• 0.4

• 0.6

• 1.7

• 1.8

The table below shows the cost to rent a movie for different numbers of days at a movie rental store. What is the meaning of the rate of change for the data?

• The cost to rent a movie increases by $1.25 for each additional day the movie is rented

• The cost to rent a movie increases by $2.00 for each additional day the movie is rented.

• The cost to rent a movie increases by $2.50 for each additional day the movie is rented.

• The cost to rent a movie increases by $2.75 for each additional day the movie is rented.