SOLUTION: I started submitting a question and didnt finish so I will do it again. For the following function, C computes a value, where if you add millions of dollars to the value, the re

Question 295525: I started submitting a question and didnt finish so I will do it again.
For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x as a percent(not a decimal equivalent), citizens participate
C(x)= 1.5x/100-x
a.) Using this model, determine the cost if 60% of the citizens participate?

b.)Using this model, find the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up the equation and solve algebraically. Round to the nearest whole percent.
I would appreciate help on this one, I am not sure how to do it, and would love to see it step by step.
Thank you for your help
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) Just plug in x=60 to get: . So the cost is 2.25 million.

b) Since we want the cost to be 5 million, we let and plug it in to get . Now we solve for 'x':

Start with the given equation.

Multiply both sides by 100-x.

Distribute.

Add 5x to both sides.

Combine like terms.

Divide both sides by 6.5 to isolate 'x'.

Divide

Now round to the nearest whole number to get

So the percentage is 77% (to the nearest whole percentage)
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