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Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn itbabysitting this weekend.In this case, m is ____, and b is ________ because Lauren owes her friend $________.If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have afterpaying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is:𝑦 = 𝑥

Question

Lauren owes her friend 32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn itbabysitting this weekend.In this case, m is ____, and b is ________ because Lauren owes her friend ________.If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have afterpaying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is:𝑦 = 𝑥

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Solution

In this case, m is 8, and b is -32.50 because Lauren owes her friend $32.50.

If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have after paying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is: 𝑦 = 8𝑥 - 32.50.

Here's why:

  • m represents the slope of the equation, which is the rate at which Lauren earns money, $8 per hour.
  • b represents the y-intercept of the equation, which is the starting amount of money Lauren has, -$32.50, because she owes this amount to her friend.
  • x represents the number of hours Lauren babysits.
  • y represents the amount of money Lauren will have after paying back her friend.

So, for every hour Lauren babysits (x), she earns 8(m),butshestartswithadebtof8 (m), but she starts with a debt of 32.50 (b). Therefore, the equation is 𝑦 = 8𝑥 - 32.50.

This problem has been solved

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