Question 897582
This week Alison worked for x+4 hours. She earns x-4 dollars per hour. Write a polynomial for the amount that Alison earned this week.

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W = hourly wage
H = number of hours worked for the week


We're given


W = x-4
H = x+4



Total amount earned this week = (hourly wage)*(number of hours worked for the week)


Total amount earned this week = ( W )*( H )


Total amount earned this week = ( x-4 )*( x+4 )


Total amount earned this week = x( x+4 ) - 4( x+4 )


Total amount earned this week = x*x + x*4 - 4*x - 4*4


Total amount earned this week = x^2 + 4x - 4x - 16


Total amount earned this week = <font color="red">x^2 - 16</font>



So the final answer is <font color="red">x^2 - 16</font> since this is the polynomial expression that represents the total amount earned (in dollars) for the week.