Question

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

Answer 1

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

Answer 2

Answer:

c

Step-by-step explanation: