Question

HELP PLZ!

Shanice took a long bike ride today and is now 27.2 miles from home. She rides back home at an average of 9.8 miles per hour. This situation can be modeled with the equation d = 27.2 - 9.8t, where d represents the number of miles she is from home and t represents the number of hours she rides. How many hours will it take Shanice to ride home? Round your answer to the nearest hundredth.



a.) 37.0 hours

b.) 2.78 hours

c.) 17.4 hours

d.) 0.36 hours

Answer 1

Answer

b

Step-by-step explanation:

I hope this is right

Answer 2

The correct answer is b.) 2.78 hours

Let d represents the number of miles, Shanice is from home at time t (hours). Since she is 27.2 miles from home and she rides at an average of 9.8 miles per hour, hence:

d = 27.2 - 9.8t

At time the time she is at home, d = 0, hence to find the number of hours it takes her to ride home, we equate d = 0 and solve for t, hence:

0 = 27.2 - 9.8t

9.8t = 27.2

t = 2.78 hours

Therefore, it takes her 2.78 hours to ride home.

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