Question

Suppose you are driving. You notice that after driving for 3 hours, you are 165 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 415 miles from Seattle.

Answer 1

ANSWER:

50 miles per hour

450 miles

865 miles

STEP-BY-STEP EXPLANATION:

We can calculate the rate with the help of the points we have, just like this:

$\begin{gathered} r=\frac{415-165}{8-3}=\frac{250}{5} \\ r=50\text{ miles per hour} \end{gathered}$

Therefore, the rate is 50 miles per hour

We know the rate, therefore, after 9 hours, the distance would be:

$50\frac{miles}{hour}\cdot9hours=450miles$

Therefore, every 9 hours, a total distance of 450 miles is traveled.

We know that they are 415 miles from Seattle after 8 hours, so the total distance can be calculated as follows:

$415miles+(17hours-8hours)\cdot50milesperhour=865miles$

Which means that after 17 hours, it is 865 miles away.