In the table below, x represents the miles traveled and y represents the cost to travel by train. Miles, x Cost

Question

In the table below, x represents the miles traveled and y represents the cost to travel by train.

Miles, x

Cost, y

2

8.50

5

15.25

8

22.00

12

31.00

What is the slope of this function?

0.44

0.63

2.25

22.50

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Jasmine 2 weeks 2021-11-23T15:55:23+00:00 2 Answers 0

Answers ( )

    0
    2021-11-23T15:57:08+00:00

    Answer:

    Third option

    m = 2.25

    Step-by-step explanation:

    The slope of the function is equal to its rate of change between two points.

    For example, for a couple of points (x_1, y_1),\ (x_2, y_2)

    The slope is:

    m =\frac{y_2-y_1}{x_2-x_1}

    In this problem we have the following points

    1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

    We calculate the slope between the first two points

    m =\frac{15.25-8.50}{5-2}=2.25

    We calculate the slope between the points 3 and 4

    m =\frac{31-22}{8-4}=2.25

    We calculate the slope between the points 2 and 3

    m =\frac{22-15.25}{8-5}=2.25

    The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

    0
    2021-11-23T15:57:18+00:00

    Answer:it’s C 2.25

    Step-by-step explanation:

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