Question

Cameron stops to get gas soon after beginning a road trip. He checks his distance

Answer 1

Answer:

$y=65x+40$

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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{365-170}{5-2}$

$m=65\ \frac{mi}{h}$ ---> (the slope is the same that the average speed)

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=65$

$point\ (2,170)$

substitute

$y-170=65(x-2)$

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-170=65x-130\\y=65x-130+170\\y=65x+40$