Cameron stops to get gas soon after beginning a road trip. He checks his distance
from home 2 hours after filling his gas tank and checks again 3 hours later. The first
time he checked, he was 170 miles from home. The second time, he was 365 miles
from home. What equation models Cameron's distance from home as a function of
the time since getting gas?

Step-by-step explanation:

Let

y ----> Cameron's distance from home in miles

x ---> the time in hours  since getting gas

we have the ordered pairs

(2,170) and (2+3,365)

so

(2,170) and (5,365)

Find the slope

The formula to calculate the slope between two points is equal to

substitute the values

---> (the slope is the same that the average speed)

Find the equation in point slope form

we have

substitute

Convert to slope intercept form

Isolate the variable y

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)