Comparing Functions Using Slope

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.

What is the approximate difference in the growth rates of the two functions?

• 0%

• 3%

• 5%

• 8%

Kyle sells bags of popcorn at school events. The function P = 1.25b – 18 represents Kyle’s profit, where P stands for profit and b stands for the number of bags of popcorn sold. His brother Nathan sells bottles of fruit juice and has kept track of his daily sales and profit in the table. If Nathan’s profit is modeled linearly, which statement can be predicted from the two models?

• Kyle will have a higher profit than Nathan if they each sell 50 items.

• Kyle will have a higher profit than Nathan if they each sell 40 items.

• Kyle will have a higher profit than Nathan if they each sell 30 items.

• Kyle will have a higher profit than Nathan if they each sell 20 items.

Here is a linear function. Which table has the same slope as the function in the graph?

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Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

• Equation A

• Equation B

• They have the same slope

Which equation has a greater slope?

• Equation A

• Equation B

• They have the same slope

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same slope

• I don't know

Function A and B are linear Functions. Which statement below is true? (Hint slope is Y / X)

• The slope of Function A is greater than the slope of Function B

• The slope of Function A is less than the slope of Function B

• The slope of Function A is the same as the slope of Function B