Comparing Two Linear Graphs

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Slope is another word for:

• Initial Value

• Rate of Change

• Change in Y's

• Y-intercept

Is the equation linear, exponential, or quadratic?
y = 2x+ 4

• Linear

• Exponential

• Quadratic

• None of the above

• A) y = 1.4x + 55
• B) y = 1.4x - 84
• C) y = 0.72x + 60
• D) y = 0.72x + 56

Two functions are given below.
f(x) = −4x + 1 1
g(x) = −4x + 2
How does the graph of f compare with the graph of g?

• The graph of f is less steep than the graph of g.

•  The graph of f has the same y-intercept as the graph of g.

•  The graph of f is parallel to the graph of g.

• The graph of f is steeper than the graph of g.

• A
• B
• C
• D

• Positive Association
• Negative Association
• No Association
• Non-Linear Association

The table below shows some of the values for the linear function f.

Let g be the linear function defined by g(x) = 4x + 5.

Which statement is true?

• The graph of f has a greater slope than the graph of g.

• The graph of g has a greater slope than the graph of f.

• The graph of f has the same slope as the graph of g.

• The slopes of the graphs of f and g are undefined.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

• The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

• The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

• The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

• The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

Jasmine compared the x-intercept of f(x) = 2x – 8 to the x-intercept of the function shown in the table.

What is the value of the larger x-intercept of the two functions?

• -8

• -2

• 4

• 16