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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?

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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 75settingupthecarwash,andtheyarecharging75setting 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?

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Solution

A. The equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x, ignoring the setup cost would be y = 5x. This is because each car wash costs $5.

B. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A. This is because the team spent $75 setting up the car wash, which is a cost that needs to be subtracted from the total amount collected.

C. The equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses would be y = 5x - 75. This equation takes into account both the cost of each car wash and the initial setup cost.

D. The value of the profit when the baseball team washes 0 cars would be -$75. This is represented by the point (0, -75). The y-value of this point represents the loss the team would incur if no cars were washed, due to the initial setup cost.

E. The baseball team would have to wash 15 cars to break even. This is represented by the point (15, 0). The x-value of this point represents the number of cars that need to be washed in order to cover the initial setup cost and start making a profit.

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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?

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