Name:    SOL A.6B WRITE EQUATION GIVEN 2 POINTS OR A POINT AND THE SLOPE MINI QUIZ

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

A music store is selling posters and CDs. The store profits \$3.00 from each poster sold and \$5.00 from each CD sold. The store needs to make an average profit of \$200 per hour to stay in business. Using x as the number of posters sold and y as the number of CDs sold, write and graph an inequality for the number of each item the store needs to sell to stay in business. If 15 posters are sold, how many CDs must be sold?
 a. ; At most 31 CDs. c. ; At most 31 CDs. b. ; At least 31CDs. d. ; At least 31 CDs.

2.

The cost of a school banquet is \$95 plus \$15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?
 a. y = 15x – 95; \$1060 c. y = 15x + 95; \$1250 b. y = 95x + 15; \$7330 d. y = 95x – 15; \$7300

3.

The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 22 gallons.

 Tank size (gal)(x) Total cost (\$)f(x) 11 21.45 15 28.25 17 31.65
 a. ; Cost for truck = \$36.00 b. ; Cost for truck = \$40.15 c. ; Cost for truck = \$14.60 d. ; Cost for truck = \$37.45

4.

Vijay’s family is staying at a campground this summer. The table shows the canoe rental rates at this campground. Write a linear equation to model the relationship between the total cost, c, and the rental time, h, for canoe rentals. Then give real-world interpretations for the slope and y-intercept in your equation.
 Length of Rental (hr) Total Cost(\$) 2 4.44 4 5.64 6 6.84 8 8.04
 a. The slope, 2.22, represents the hourly cost of the rental.The y-intercept is 0, so there is no one-time fee for the rental. b. The slope, 0.60, represents the hourly cost of the rental.The y-intercept, 3.24, represents the one-time fee for the rental. c. The slope, 1.01, represents the hourly cost of the rental.The y-intercept is 0, so there is no one-time fee for the rental. d. The slope, 5.40, represents the hourly cost of the rental.The y-intercept, 1.67, represents the one-time fee for the rental.

1.

Gregory ordered small trees to plant. The table below gives the cost of ordering different numbers of trees. In each case, the cost includes a shipping charge.
 Number of trees 2 4 6 8 10 Total cost 27 39 51 63 75
Part A: Explain why the situation can be modeled by a linear equation.
Part B: Write an equation that gives the cost as a function of the number of trees shipped. What is the shipping charge?
Part C: The company changes the shipping charge to \$25. Write a new equation that gives the cost as a function of the number of trees shipped.