Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving? St

Question

4 years ago

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Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving? St

artFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction

Mathematics

2 answers:

aalyn [17] · Answer 1 · 2021-12-13T15:08:31+03:00

Answer:

StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction

Step-by-step explanation:

For constant speed, miles and hours are proportional. One possible equation is ...

$\dfrac{50\,\text{miles}}{1\,\text{hour}}=\dfrac{200\,\text{miles}}{?\,\text{hours}}\qquad\text{matches the first choice}$

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<em>Comment on the solution</em>

I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.

I might write the equation as ...

(? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve

Another way to write the equation is matching the ratios of times to corresponding miles:

(? hours)/(1 hour) = (200 mi)/(50 mi)

This only requires simplification to solve it: ? = 4.