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1 vote
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

User Jomni
by
8.0k points

2 Answers

2 votes

Answer:it’s C 2.25

Explanation:

User Dirk Herrmann
by
8.4k points
5 votes

Answer:

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

User Tobijdc
by
8.1k points

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