Question

I’ve been stuck on this for a while now and I can’t get passed it can someone please help me please please

A) 5/31 ; your car travels 53 miles every 1 hour
B) 10 ; your car travels for 10 hours
C) 1/53 ; your car travels 53 miles every 1 hour
D) 212 ; your car travels 212 miles

Answer 1

The rate of change, or slope, is exactly what it sounds like: the amount of change in a certain interval of time. It can be defined as

`(rise)/(run)`, or
`(change in y value)/(change in x value)`

In order to find the slope of an equation, we can use this formula:

`(y2 - y1)/(x2 - x1)` (numbers after variables are subscript)

What this means is that for a certain y value (y2), we subtract the y value before it (y1), and the same for the x. Because the question says "the rate of change is constant," we only need to find this once. In this case, I will use the first 2 data sets in the table:

`(6 - 4)/(318 - 212)`

=
`(2)/(106)`

=
`(1)/(53)`

Therefore, the answer would be C)
`(1)/(53)`; your car travels 53 miles every 1 hour.

Hope this helps! :)