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It will cost $36.38 to travel 8.9 miles.

Step-by-step explanation:

In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the in slope-intercept form. That makes the equation look like:

The in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for .

Simply solve the equation and you will have how much it will cost to travel 8.9 miles.

Now add the like terms:

Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:

Therefore, it will cost $36.38 to travel 8.9 miles.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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