Question

(Score for Question 1: ___ of 8 points)

1. Use the table and the graph to answer the questions.
Function 1
x -1 -2 -3 2 3
y 4 6.5 9 -4 -6.5
Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?
Answer:

(Score for Question 2: ___ of 12 points)
2. The restaurant bill you and your friend received was not itemized. You ordered 2 slices of waffles and the grand slam, for a total of $6.00. Your friend ordered 3 waffles and the grand slam for $6.75.
(a) Write a system of equations for the situation. Use w for the amount charged for a waffles and g for the amount charged for the grand slam.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.
Answer:

Answer 1

Explanation:

1.

a. m = (y2-y1)/(x2-x1) = slope

Function 1:

m = (9-4)/(-3+1)

m = -5/2

Function 2:

m = (4-0)/(0+1)

m = 4/1

b. Function 2 has the greater rate of change.

2.

a.

g = 6-2w

g = 6.75-3w

b and c.

If you graph both of those functions they will cross each other and where they cross is the price of each item. The w value will be the waffle at $0.75 and the g value will be the grand slam at $4.50.