jill is a writing tutor at her local community center. she has spent $400 on advertisements, and she pays…
jill is a writing tutor at her local community center. she has spent $400 on advertisements, and she pays the community center $20 per hour to use its facilities. she charges her clients $60 per hour. how many hours must jill tutor for the amount she brings in to equal the amount she spends? hours
Answer
Explanation:
Step1: Set up the cost - revenue equations
Let $x$ be the number of hours Jill tutors. The total cost $C$ she incurs is the sum of the advertisement cost and the facility - usage cost. So, $C = 400+20x$. The total revenue $R$ she gets is the amount she charges per hour times the number of hours. So, $R = 60x$.
Step2: Set cost equal to revenue
We want to find when $R = C$, so we set up the equation $60x=400 + 20x$.
Step3: Solve the equation for $x$
Subtract $20x$ from both sides: $60x-20x=400+20x - 20x$ $40x=400$. Then divide both sides by 40: $x=\frac{400}{40}=10$.
Answer:
10