Answer:
Step-by-step explanation:
The manager visits a park and interviews people who are waiting to use the tennis courts.
<u>Part a)</u> Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime
Let
E-------> the amount of money earned
x------> number of hours worked
we know that
For 

therefore
<u>the answer part a) is</u>

<u>Part b) </u>Create an equation that shows the amount of wages earned, T, for working y hours of overtime
Let
T-------> the amount of money earned
y------> number of hours of overtime
we know that


therefore
<u>the answer part b) is</u>

<u>Part c)</u> Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?
we know that


Divide
by
----> to obtain the hours of overtime

So
Allison works


therefore
<u>the answer part c) is</u>

I will show all the steps to lead to the solution.
1) 10b = 5 (√c + 2) <---- starting equation
2) divide by 5 => 2 b = √c + 2
3) subtract 2 => 2b - 2 = √c
4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.
Now these are two equivalent forms:
1) extract 2 from the parentheses: c = 4 (b -1)^2
2) expand the parentheses: c = 4b^2 - 8b + 4)