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Answer:

Step-by-step explanation:
Given in the question:
a) A family paid $96 for 4 pool passes and 2 gym memberships.
b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60.
Let's write the system of equation for each purchase that happened in the scenario.
Let,
P= Price of each pool passes
G= Price of each gym membership
We get,
a) A family paid $96 for 4 pool passes and 2 gym memberships:

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60:

Therefore, the equations generated in the scenario were:

Where,
P=Price of each pool passes
G=Price of each gym membership
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The total discretionary money every month is $1,117.43.
<h3>What is discretionary money?</h3>
This is the amount of money after paying for necessary products and other obligations. This includes:
<h3>How to calculate the discretionary money?</h3>
Discretionary money = Total income - money spent on taxes and basic expenses.
Basic expenses:
- Rent: $953.20
- Auto payment: $165.87
- Telephone: $56.98
- Autoinsurance: $714.36 every six months / 6 months = 119.06
- Total: 1,295.11
Discretionary money = Total income - money spent on taxes and basic expenses.
- $2,412.54 - $1,295.11 = $1,117.43
Learn more about discretionary money in: brainly.com/question/12159880
Write as a(x+8)^2-6.
plug in -7 to get -7=a-6; a=-1.
y = -(x+8)^2 - 6