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. Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! 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 = x^2 - 16
So the final answer is x^2 - 16 since this is the polynomial expression that represents the total amount earned (in dollars) for the week.
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