Creating an Equation

A plumber charges $25 for a service call plus $50 per hour of service.Write an equation in slope-intercept form for the cost, C, after h hours of service. What does the slope and y-intercept represent?

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Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write the equation for the total pounds, P, of aluminum cans after w weeks. What does the slope and y-intercept represent?

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Jeremy has $600 in his bank account and withdraws $10 every week. Write the equation for the total amount of money after w weeks. What does the slope and y-intercept represent?

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Sally started out at 170 pounds and is working on her new workout plan. She is losing 4 pounds a month. Write the equation for the total amount of weight after m months. What does the slope and y-intercept represent?

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A​ town's population is 47,500. About 75 people move out of the town each month. Each​ month, 125 people on average move into town. A nearby town has a population of 50,250. It has no one moving in and an average of 200 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question.

• 125m-75m+50,250=47,500-200m

• 75m-125m+ 50,250 = 47,500-200m

• 75m-125m+47,500 = 50,250-200m

• 125m-75m+47,500 = 50,250-200m

The product of 12 and a number is the same as 2 removed from a number

• 12x=x+2

• 12x=2-x

• 12-2=x-2

• 12x= x-2

a number halved is equal to 22 fewer than a number

• b⁄2 = 22-b

• 2b =22- b

• n⁄2=n-22

• None of the above

Rayshawn and Robert are both saving money for their summer vacations. They began saving at the same time. Rayshawn started with $10.25 and adds $5.15 to his savings every month. Robert did not have a starting amount but adds $10.25 to his savings every month. Which equation could be used to determine how many months, m, it will take before Rayshawn and Robert both have saved the same amount of money?

• 5.15m + 10.25 = 10.25m

• 10.25m + 5.15 = 10.25m

• 10.25m + 10.25 = 5.15m

• 10.25m – 5.15 = 10.25m

120 more than twice a number is the same as halve a number removed from 8

• 2t+120= t⁄2-8

• 120+2t = t⁄2-8

• 2t+120 = 8-t⁄2

• Be humble...sit down

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20