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Chapter 8: Q. 8.174 (page 1012)

The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours

鈸� Write the equation that relates d and t.

鈸� How many miles would it travel in 5 hours?

Short Answer

Expert verified

(a)d=50t

(b) 250 miles

Step by step solution

01

Part (a) Step 1. Given information.

The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours.

We have to write the equation that relates d and t.

02

Part (a) Step 2. Write the formula for direct variation and substitute the given values for the variables. 

The direct variation formula is d=kt.

Substitute d=100,t=2.

100=k(2)

03

Part (a) Step 3. Solve for the constant of variation and write the equation that relates d and t.  

100=k(2)k=1002k=50

Therefore, we can write:

d=50t

04

Part (b) Step 1. Put t=5 in the formula d=50t and solve.

d=50td=50(5)=250

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