Bob's paycheck (X) was $250.00. He put 20% of his paycheck into his retirement account. Which expression shows how much money he has left?

A. .80 ($250)

B. $250 - .20 ($250)

C. X - .20(X)

D. All of these represent what Bob has left

Respuesta :

The amount left is an illustration of equivalent expressions.

All three expressions can be used to represent the amount left

The given parameters are:

[tex]\mathbf{Paycheck =X}[/tex]

[tex]\mathbf{Savings =20\%}[/tex]

The amount left is:

[tex]\mathbf{Amount = Paycheck \times (1 - Savings)}[/tex]

So, we have:

[tex]\mathbf{Amount = X\times (1 - 20\%)}[/tex]

Substitute 250 for A

[tex]\mathbf{Amount = 250 \times (1 - 20\%)}[/tex]

Express percentage as decimal

[tex]\mathbf{Amount = 250 \times (1 - 0.20)}[/tex]

[tex]\mathbf{Amount = 250 \times 0.80}[/tex] ---- this represents option (A)

Expand [tex]\mathbf{Amount = 250 \times (1 - 20\%)}[/tex]

[tex]\mathbf{Amount = 250 - 250 \times 20\%}[/tex]

[tex]\mathbf{Amount = 250 - 250 \times 0.20}[/tex] ---- this represents option (B)

Express 250 as X in [tex]\mathbf{Amount = 250 - 250 \times 0.20}[/tex]

[tex]\mathbf{Amount = X - X \times 0.20}[/tex] ---- this represents option (C)

Hence, all three expressions can be used to represent the amount left

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