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
Mark this and return

Answers

  1. the slope of the linear equation is 2.25, which means that the third option is the correct one.

    How to get the slope of the function?

    Remember that a linear equation is a function of the form:
    y = a*x + b
    Where a is the slope and b is the y-intercept.
    If the linear equation passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
    a = (y₂ – y₁)/(x₂ – x₁)
    From the given data, where we have:
    • x = miles.
    • y = cost
    We can use the first two points:
    (2, 8.50)
    (5, 15.25)
    Replacing that in the slope equation we get:
    a = (15.25 – 8.50)/(5 – 2) = 2.25
    Then the slope of the linear equation is 2.25, which means that the third option is the correct one.
    If you want to learn more about linear equations:
    #SPJ1

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