Question

Why is x = 4 a solution to the proportion 15/x = 56/16 A) because 56 divided by 14 equal to 4. B) because 56 divided by 16 is equal to 4. C) because if you substitute 4 into the equation for x and cross multiply, you get 196 = 196. D) because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224

Answer 1

The correct answer is: "because if you substitute 4 into the equation for x and cross multiply, you get 56 = 56."

Let's solve the proportion to see why x = 4 is a solution:

Start by cross-multiplying the given proportion: 14 * 16 = x * 56

This simplifies to: 224 = 56x

To isolate x, divide both sides of the equation by 56: 224 / 56 = x

This further simplifies to: 4 = x

So, when you substitute x = 4 back into the original proportion, you get:

14 / 4 = 56 / 16

Both sides simplify to: 3.5 = 3.5

This confirms that x = 4 is indeed a valid solution to the proportion.

Hope It Helps :)

Answer 2

The given proportion is

`(14)/(x)=(56)/(16)\\\\14 * 16=56* x\\\\x=(14 * 16)/(56)\\\\x=(16)/(4)\\\\x=4`

Substitute , x=4 in the equation

`(14)/(4)=(56)/(16)\\\\56 * 4=14 * 16\\\\224=224`

Option D

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