Question

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? StartFraction 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

Answer 1

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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Comment on the solution

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.

Answer 2

Answer:

200/50=h

h=number of hours

Step-by-step explanation: