8/6 = x + 2/32

solve for x

show work and answer can't be put into decimal form

8/6 = x + 2/32

To solve this, you need to subtract 2/32 from both sides. To do that though, the two fractions need to have a common denominator.

2/32 can be simplified to 1/16.

The lowest denominator they have in common is 48.
1/16 = 3/48
8/6 = 64/48

Now subtract them.
(64/48) - (3/48) = 61/48

That cannot be simplified, so it's the final answer.
x = 61/48

y= .5x+15

see attached graph

They are charging $.50 per mile.   That is the slope.  

The y intercept in the flat fee or $15

Step-by-step explanation:

Let x be the number of miles driven

  Let y be the total cost for the day.

They are charging $.50 per mile.   That is the slope.

This is the change in y over the change in x (.5/1)  Go up .5 and to the right 1.

 

The y intercept in the flat fee or $15

This is the point where it crosses the y axis (x= 0)

We can write this in the form

y= mx+b

y= .5x+15