The polynomial y (water level)
= (x-1)(x+1)
y = 0 at x =1
<span>x=0 y=-1 lake level drops 1 inch when no rain</span>
<span>x=1 y=0 1 inch of rain and water level donot change</span>
<span>x=2 y = 3 2 inches of rain and water level rise up 3 inch</span>
When you have a polynomial function, and you need to graph it, you need to find- y intercept (the constant at the end) zeroes( factor equation and set factorsequal to zero) end behavior( if the highest exponent is even, then if the leading coefficient is positive both sides continue up, if the leading coefficient is negative both sides continue down. If the highest exponent is odd, then if the leading coefficient is positive left side continues down, right side continues up, if the leading coefficient is negative then visa versa.) and multiplicity( if the same factor occurs multiple times- if it occurs an odd number of times, then the graph passes the x axis, if it occurs an even number, then it merely touches).
Hope I helped!
<u>Answer:</u>
The city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.
<u>Explanation:
</u>
Total number of saved work hours = 4 weeks * 40000 workers/week * 10 hours/worker = 1,600,000 work hours
So, Money saved = 1,600,000 work hours * $10/ work-hour
= $16 million
Therefore, the city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.