Question

Determining the Effect of a New Rate of Change
Seth compares the two new scenarios and concludes that driving from a relative’s house is faster than biking from Dad’s work.

Bike from Work: His dad’s work is 5 miles from school, and he bikes at 0.2 mile a minute.

Relative’s House: y = 1.2x − 4

Seth learns that there is construction on the highway from his relative’s house which is 17 miles away from school, slowing the rate to 0.7 mile each minute. How much longer will it take from his relative’s house during the construction compared to biking?

minutes slower

Answer 1

Driving time during construction = 17 ÷ 0.7 = 24.2857 minutes.
Biking time = 5 ÷ 0.2 = 25 minutes.

Difference = 25 − 24.2857 = 0.7143 minutes.

So it will not be slower — it will be about 0.714 minutes faster (≈0.71 minutes less) than biking.