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.

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

Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it.      Time (months)Total cost (dollars)A first quadrant coordinate plane. The horizontal axis is from zero to twenty with a scale of five and is titled Time in months. The vertical axis is from zero to seven hundred with a scale of fifty and is titled Total cost in dollars. The graph of the line goes through the points zero, sixty, five, two hundred ten, and three hundred sixty. All values are estimated.What does the  -intercept represent in this context?Choose 1 answer:Choose 1 answer:(Choice A)   The number of months after which the total cost is   dollars.AThe number of months after which the total cost is   dollars.(Choice B, Checked)   The cost of buying the tabletBThe cost of buying the tablet

The manager of a furniture factory finds that it costs $2400 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.C = 0.25d+390 Sketch the graph. (b) What is the slope of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of operating the factory daily.It represents the cost (in dollars) of producing each additional chair.(c) What is the y-intercept of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of producing each additional chair.It represents the fixed daily cost (in dollars) of operating the factory. Viewing Saved Work Revert to Last Response17.[–/6 Points]DETAILSSESSCALC2 1.2.014.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERThe monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $505 to drive 460 mi and in June it cost her $565 to drive 700 mi.(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.C(d) = (b) Use part (a) to predict the cost of driving 1100 miles per month.$ (c) Draw the graph of the linear function. What does the slope represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the cost (in dollars) of driving.    It represents the cost (in dollars) per mile.It represents the distance (in miles) traveled.(d) What does the y-intercept represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the distance (in miles) traveled.    It represents the cost (in dollars) of driving.It represents the cost (in dollars) per mile.(e) Why does a linear function give a suitable model in this situation?A linear function is suitable because the monthly cost increases as the number of miles driven decreases.A linear function is suitable because the monthly cost increases even if the miles driven is constant.    A linear function is suitable because the monthly cost is fixed despite the fact that the miles driven may vary.A linear function is suitable because the monthly cost increases as the number of miles driven

Christopher works in a clothing store. He earns $7.50 per hour, plus 6% of his sales. Which of the following expressions gives Christopher’s earnings, in dollars, when he works x hours and has y dollars in sales?Responses75x + 6y75x + 6y75x + 0.06y75x + 0.06y7.5x + 6y7.5x + 6y7.5x + 0.6y7.5x + 0.6y7.5x + 0.06y

Select the correct answer.Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? A. y = -15x – 40 B. y = -30x + 40 C. y = -15x + 40 D. y = 30x – 40