You are traveling away from home at a constant speed after 3 hours you are 60 miles from home and after 7 hours you are 160 miles from home write an equation that models why your distance in miles from home after x hours

So, the first thing we want to find is the rate of speed.
We can divide the number of miles traveled (60) by the time (3) to find that it seems they are traveling at 20mph.
To remember this for the future, you could think of it like; d/t=r. The distance divided by the time is equivalent to the rate of speed!

Unfortunately, that’s about as far as I can get. I am quite sure you may have made a typo, as though you reference a “constant rate of speed”, if we say they are traveling at 20mph, that speed does not match the second set of numbers.
If you had typed it correctly; we should have been able to multiply 20 (the speed) by the number of hours to get the distance travelled, but in this case after 7 hours it would have travelled 140 miles, not 160.

With that being said, you can use this information to answer it correctly.

We found that the car is traveling at 20mph as a result of the first set of numbers (60 miles in 3 hours) and thus to determine how far they would travel in *x* hours we would use the following formula.

distance = 20x

The distance is the same as 20 (the rate of speed) times the number of hours travelled.