Question

Please help me! 8th grade math... its easy!

Solve the word problem.

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides at a constant rate of 15 miles per hour. How many miles will he travel in 3.5 hours?

A. 4.3 miles
B. 18.5 miles
C. 23.3 miles
D. 52.2 miles

P.S. Don't forget to show your work!

Answer 1

The correct answer is: [D]: " 52.2 miles" .
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Step-by-step explanation:
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Take note of the formula: d = r * t ;

The question asks: "How many miles will he travel in "3.5 hours" ?

So, we want to find "d" , the distance (in units of "mi." {miles} ) .

We are give: rate, "r" = 15 mi / hr .

time, "t" = 3.5 hr.
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→ d = r * t ;

Plug in our known values for "r" and "t" ; to solve for "d" ;

→ d =
`(15 mi )/(hr) *3.5 hr` ;

Both units of "hr" cancel out to "1" ; since: " hr/hr = 1 " .

And we are left with:

→ d = (15 * 3.5) mi. ;

→ d = 52.5 mi.
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The answer is: " 52.5 mi. " ;

→ which is: "Answer choice: [D]: " 52.5 miles " .
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Answer 2

Hey there! :)

If distance is equal to: rate × time then you have to multiply

Rate = 15 miles
Time = 3.5 hours

All you have to do is multiply to find the distance

15 × 3.5 = 52.5

The closest answer is D. So your answer is D.

Hope this helps :)