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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

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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

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Solution

The y-intercept in this context represents the initial cost of the tablet. This is the amount Mio spent before any monthly internet service payments were added. This is represented by the point where the line crosses the y-axis, which is at $60. So, the correct answer is (Choice B) The cost of buying the tablet.

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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.

The graph below shows where Sarah spent her money last year.If Sarah spent a total of $14,000.00 last year, how much did she spend on food and entertainment?

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

A straight line passing through the origin represents a ________________________ relationship. However,not all straight lines pass through the origin. Such lines represent relationships that are not proportional.Find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75setting up the car wash, and they are charging $5 per car for a wash.A. Write an equation to represent the amount ofmoney collected in dollars, y, in terms of the numberof cars washed, x. Ignore the setup cost. 𝑦 = 𝑥B. What do you need to do to the equation in part Ato account for the setup cost?To account for the setup cost, you need to_______add _______subtract 75 from the right sideof the equation obtained in part A.C. Write an equation representing the profit madeon the car wash in dollars, y, in terms of the numberof cars washed, x, after expenses. 𝑦 = 𝑥D. What is the value of the profit when the baseballteam washes 0 cars? What point represents thisvalue? What does the y-value of this point mean interms of the problem?E. How many cars does the baseball team have towash to break even? What point represents thisvalue? What does the x-value of this point mean interms of the problem?

The 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 increases.

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