Charlotte has a babysitting service andcharges $12.50 per hour. After Charlottecalculates her set-up and travel costs,she constructs the cost equation𝐶=45+2.5ℎC=45+2.5hC, equals, 45, plus, 2, point, 5, hwhere 𝐶CC represents thecost in dollars per job and h represents thehours that Charlotte babysits for.How many hours does Charlotte need to babysit for in order to cover her costs?Hint: write an equation that represents the revenue, 𝑅RR, earned by Charlotte in termsof the number of hours spent babysitting

Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn itbabysitting this weekend.In this case, m is ____, and b is ________ because Lauren owes her friend $________.If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have afterpaying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is:𝑦 = 𝑥

ProblemAdam wants to buy a surfboard that costs $249$249. He was given a birthday present of $50$50 and he has a summer job that pays him $6.50$6.50 per hour. To be able to buy the surfboard, how many hours does he need to work? SolutionStep 1:We know the following.The surfboard costs $249$249.Adam has $50$50.His job pays $6.50$6.50 per hour.We want to know how many hours Adam needs to work to buy the surfboard.Let x=𝑥= the time expressed in hours.Let y=𝑦= Adam earningsThe equation of this line is: y=6.50x+50𝑦=6.50𝑥+50Step 2: We can solve this problem by making a graph that shows the number of hours spent working on the horizontal axis and Adam’s earnings on the vertical axis.Adam has $50$50 at the beginning. This is the Answer 1 Question 5: (0,50)(0,50).He earns $6.50$6.50 per hour. This is the Answer 2 Question 5 of the line.We can graph this line using the slope-intercept method. We graph the y𝑦−intercept of (0,50)(0,50), and we know that for each unit in the horizontal direction, the line rises by Answer 3 Question 5 units in the vertical direction. Here is the line that describes this situation.Step 3: The question was: “How many hours does Adam need to work to buy the surfboard?”We find the answer from reading the graph - since the surfboard costs $249$249, we draw a horizontal line from $249$249 on the vertical axis until it meets the graph and then we draw a vertical line downwards until it meets the horizontal axis. We see that it takes approximately 3131 hours to earn the money.Step 4: To check if this correct, let’s think of the problem again. We know that Adam has $50$50 and needs $249$249 to buy the surfboard. So, he needs to earn $249−$50=$$249−$50=$ Answer 4 Question 5 from his job.His job pays $6.50$6.50 per hour. To find how many hours he need to work we divide:$199$6.50perhour=30.6$199$6.50𝑝𝑒𝑟ℎ𝑜𝑢𝑟=30.6 hoursThis is very close to the answer we got from reading the graph.The domain of this function would be Answer 5 Question 5 Answer 6 Question 5 Answer 7 Question 5.The range of this function would be Answer 8 Question 5 Answer 9 Question 5 Answer 10 Question 5.CheckQuestion 5

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

One week, Charlotte earned $333.00 at her job when she worked for 18 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $425.50?

Maria is saving money to buy a bike. She has $60 and is going to save an additional $5 each week. The bike costs $125. In how many weeks will she have enough money to buy the bike?(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 60, 5, and 125. Let w represent the number of weeks.=+w=−w(b) Solve the equation in part (a) to find the number of weeks.=w