Question

Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance Clayton had driven at any given time describes a linear function. At 3:00 p.m., he had driven 90 miles. At 4:30 p.m., he had driven 180 miles. Which statement about Clayton’s trip is true?
1.Clayton started driving at 1:30 p.m., and he drove 60 miles per hour.


2.Clayton started driving at 3:00 p.m., and he drove 60 miles per hour.



3.Clayton started driving at 1:30 p.m., and he drove 90 miles per hour.


4.Clayton started driving at 4:30 p.m., and he drove 90 miles per hour.

Answer 1

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.