Answer:
d = 40 + 65t
Step-by-step explanation:
Cameron, 2 hours after filling his gas tank, checks his distance from home and 3 hours later he checks again. After the 2 hours he checked, he was 170 miles from home. Then 3 hours later, he was 365 miles from home.
Therefore, since getting gas at time(t) = 2 hours, distance from home (d) = 170 miles and at t = (2 + 3) = 5 hours, d = 365 miles.
Therefore, the equation that models the situation is
[tex]\frac{d - 365}{365 - 170} = \frac{t - 5}{5 - 2}[/tex]
⇒ d - 365 = 65(t - 5)
⇒ d - 365 = 65t - 325
⇒ d = 40 + 65t (Answer)
