The cost of an Uber ride can be modled by y = 3x + 5, where x is the number of miles driven. You paid $44 in a cab fare, how many miles did you drive?

13

Step-by-step explanation:

44=3x+5

44-5=39

39/3=13

13 miles driven

Step-by-step explanation:

y = 3x + 5

Y is the amount we paid, so we insert 44 into the equation.

44 = 3x + 5

Any thing you do to one side of the equation, you do to the other side, so -5 from both sides.

44-5 = 39

5-5 = 0

So you are left with:

39 = 3x + 0    (So you can ignore the 0)

Like I said earlier, anything you do to one side of the equation you do to the other so divide both sides by 3:

39 divided by 3 = 13

3 divided by 3 = 1

So now you have:

13 = 1x

So x = 13 and that is how many miles you drove.

If this is confusing let me know

Answers are below

Step-by-step explanation:

The rate of change represents the number of stamps added every month.

The rate of change is 3.

The initial value represents how stamps she had before adding more.

The initial value us 8.