To answer each question, use the function t (r) = dr

, where t is the time in hours, d

is the distance in miles, and r is the rate in miles per hour.

a. Sydney drives 10 mi at a certain rate and then drives 20 mi at a rate 5 mi/h

faster than the initial rate. Write expressions for the time along each part of

the trip. Add these times to write an equation for the total time in terms of the

initial rate, tTotal (r).

Question

Mathematics

Makena Mckee

Today, 01:13

To answer each question, use the function t (r) = dr

, where t is the time in hours, d

is the distance in miles, and r is the rate in miles per hour.

a. Sydney drives 10 mi at a certain rate and then drives 20 mi at a rate 5 mi/h

faster than the initial rate. Write expressions for the time along each part of

the trip. Add these times to write an equation for the total time in terms of the

initial rate, tTotal (r).

+4

Answers (1)

Know the Answer?

Jorden Bennett · Answer 1

Your function gives m^2/hr ... which has no meaning in this context ...

time=distance/velocity so your function should be:

t (d, r) = d/r

t (10, r) = 10/r+20 / (r+5) = (10r+50+20r) / (r+5) = (30r+50) / (r+5)