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

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.

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

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

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

What is 10% of 470?A) 37B) 47C) 423D) 46024x + 6 = 18Which equation has the same solution as the givenequation?A) 4x = 108B) 4x = 24C) 4x = 12D) 4x = 33The total cost, in dollars, to rent a surfboard consistsof a $25 service fee and a $10 per hour rental fee. Aperson rents a surfboard for t hours and intends tospend a maximum of $75 to rent the surfboard.Which inequality represents this situation?A) t10 ≤ 75B) 10 + 25t ≤ 75C) 25t ≤ 75D) 25 + 10t ≤ 754The function g is defined by g x x= + 92( ) . Forwhich value of x is g(x) = 25 ?A) 4B) 5C) 9D) 135Each face of a fair 14-sided die is labeled with anumber from 1 through 14, with a different numberappearing on each face. If the die is rolled one time,what is the probability of rolling a 2?A) 114B) 214C) 1214D) 13146A printer produces posters at a constant rate of42 posters per minute. At what rate, in postersper hour, does the printer produce the posters?...............................................................................................................................................................................................................................................................................................................Unauthorized copying or reuse of any part of this page is illegal. CO NTI N U E327The function f is defined by the equationf x x= 7 + 2( ) . What is the value of f x( ) whenx = 4 ?8A teacher is creating an assignment worth 70 points.The assignment will consist of questions worth1 point and questions worth 3 points. Whichequation represents this situation, where x representsthe number of 1-point questions and y represents thenumber of 3-point questions?A) xy4 = 70B) x y4( + ) = 70C) x y3 + = 70D) x y+ 3 = 709Right triangles LMN and PQR are similar, where Land M correspond to P and Q, respectively. Angle Mhas a measure of 53°. What is the measure ofangle Q ?A) 37°B) 53°C) 127°D) 143°10y x= -3x y4 + = 15The solution to the given system of equationsis (x, y). What is the value of x ?A) 1B) 5C) 15D) 4511Which of the following equations is the mostappropriate linear model for the data shown in thescatterplot?A) y x= -1.9 - 10.1B) y x= -1.9 + 10.1C) y x= 1.9 - 10.1D) y x= 1.9 + 10.1