Henry is building an in-ground pool at his house. He is doing most of the work himself to save money. To dig the pool, he rents a small backhoe for $95.50 a day. If his total bill comes to $286.50, for how many days does he rent the backhoe?

The monthly fee for a local pool is $10 per month plus $4 per visit. A customer visits the pool 12 times in 1 month.What is their total bill for the month?

Nina has some money saved for a vacation she has planned.  The vacation will cost a total of $1600.She will put $150 every week into her account to help pay for the vacation. She will have enough money for the vacation in 8 weeks.  If Nina was able to save $200 a week instead of $150 a week, how many fewer weeks would it take her to save enough money for the vacation? Enter the result in the response box.

udget of $325. Bart spent $49 on the electric bill, $60 on groceries, and $200 on a new paint job for his car. How much money does Bart have left in his budget?

Scott has just spent £6160 on solar cells to go on his roof.In the first year they saved him £560 on his electricity bill.Calculate the total payback time of the solar cells.Payback time = _____ years

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