John drove 455 miles in 7 hours. At the same rate, how many miles would he drive in 13 hours

This is a unit rate problem. First, let's figure out how many miles he drives in one singular hour. Since he drives at the same rate, we don't have to worry about speed changing. We can figure out the unit rate by dividing:

[tex]\frac{455}{7} = 65[/tex]

By dividing, we figured out that John drives 65 miles in one hour. Using that, we can figure out how many miles he drove in 13 hours.

1) By setting a proportion

[tex]\frac{65}{1} = \frac{x}{13}[/tex]

"x" would represent the miles drove in 13 hours. Remember, since 1 and 13 both represent hours, they both go on the bottom. (Don't mix them up!)

65 x 13 = 845

2) Simply multiply 65 x 13
This is a bit simpler, but because you know in one hour John drives 65 miles, you can just multiply 65 x 13 to get the miles he drove in 13 hours, which is 845.

Hope this helped!