Question

Why is x = 4 a solution to the proportion StartFraction 14 over x EndFraction = StartFraction 56 over 16 EndFraction? because 56 divided by 14 is equal to 4 because 56 divided by 16 is equal to 4 because if you substitute 4 into the equation for x and cross multiply, you get 196 = 196 because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Why is x = 4 a solution to the proportion

$\displaystyle \sf{ \frac{14}{x} = \frac{56}{16} }$

• because 56 divided by 14 is equal to 4

• because 56 divided by 16 is equal to 4

• because if you substitute 4 into the equation for x and cross multiply, you get 196 = 196

• because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

EVALUATION

Here

$\displaystyle \sf{ \frac{14}{x} = \frac{56}{16} }$

Now we proceed to check if x = 4 is a solution

Putting x = 4 in both sides we get

$\displaystyle \sf{ \frac{14}{4} = \frac{56}{16} }$

On Cross Multiplication we get

$\displaystyle \sf{ \implies \: 224 = 224 }$

Which is true

FINAL ANSWER

Hence the correct option is

because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

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