Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.


StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?

Answer:

The property used here is: Multiplication property of Equality

Step-by-step explanation:

Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways

Way 1: Solving using proportion:

[tex]\frac{x}{4}=\frac{36}{16}[/tex]

By cross multiplying:

[tex]16x=144[/tex]

Divide both sides by 16

[tex]x=9[/tex]

Way 2:

She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps

Multiply both sides by 4

[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]

We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]

The property used here is: Multiplication property of Equality

The property states that if A , B and C are real numbers then

A = B and AC = BC are equivalent.

Answer:

C

Step-by-step explanation:

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Question 5 of 17
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