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Jimmy is mowing lawns in his neighborhood to make a little extra money to buy the new Playstation 5 when it comes out. He uses the equation y=5x+7 in order to calculate how much he charges for a particular yard, where x is the number of hours and y is the cost. Based on the equation, interpret what the values 5 and 7 mean in the context of the problem.

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Final answer:

In Jimmy's equation for mowing lawns, '5' is the hourly rate, and '7' is the initial charge.

Step-by-step explanation:

Jimmy is using the equation y=5x+7 to calculate his earnings from mowing lawns. In this context, the number '5' represents the rate at which Jimmy charges per hour of work (slope of the equation), meaning he charges $5 for every hour spent mowing a lawn. The number '7' represents the initial charge or baseline fee (y-intercept of the equation) that he charges regardless of the time spent, which in this case is $7.

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