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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