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

Answer 1

Answer:it’s C 2.25

Explanation:

Answer 2

Third option

m = 2.25

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 =(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 =(15.25-8.50)/(5-2)=2.25`

We calculate the slope between the points 3 and 4

`m =(31-22)/(8-4)=2.25`

We calculate the slope between the points 2 and 3

`m =(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