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

Respuesta :

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:

https://brainly.com/question/1884491

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