Question

why is x = 4 a solution to the proportion mc011-1.jpg?
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 mc011-2.jpg
because if you substitute 4 into the equation for x and cross multiply, you get mc011-3.jpg

Answer 1

Step-by-step explanation:

TO CHOOSE THE CORRECT OPTION

Why is x = 4 a solution to the proportion

\displaystyle \sf{ \frac{14}{x} = \frac{56}{16} }x14=1656

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} }x14=1656

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} }414=1656

On Cross Multiplication we get

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