Question

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.

Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Using only the money she has, can Lin pay for a 3 hour event? Explain or show your reasoning.
If LaTeX: hh represents the number of hours, what does LaTeX: 22.50h+20022.50 h + 200 represent?
Write and solve an equation to determine the number of hours Lin can rent the community center.
Write and solve an inequality that represents this situation. Explain what the solution to the inequality means in this situation.

Answer 1

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

Answer 2

Lin can only rent the hall for 4 hours with $300.

Linear equation

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let c represent the cost of renting the hall for h hours.

From the question, we get:

c = 22.5h + 200

If Lin has $330, hence:

300 = 22.5h + 200

h = 4.4 hours

Therefore Lin can only rent the hall for 4 hours with $300.

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