fita operates her own lawn mowing business. A new customer will pay an initial start-up fee, plus a constant fee fro each time the customer would liek to have their lawn mowed. Customer A had his lawn mmowed 10 times and paid a total of $370. Customer B had her lawn mowed 7 times and paid a total of $265. What is the initial start-up fee for signing up with Rita's lawn mowing service?

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anthougo anthougo · Answer 1 · 2022-07-14T19:41:23+02:00

The initial start-up fee for signing up with Rita's lawn mowing service is $20, using simultaneous equations.

Simultaneous equations are two or more algebraic equations that share variables like x and y and can be solved at the same time.

Let y = fixed cost (initial start-up cost)

Let x = variable cost per lawn mowing

Equation 1: Customer A = y + 10x = $370

Equation 2: Customer B = y + 7x = $265

Subtract equation 2 from equation 1 to get:

3x = $105

x = $35

Substitute x in any of the two equations to find the value of y, thus:

Customer A:

y + 10($35) = $370

y + #350 = $370

y = $20 ($370 - $350)

Thus, the initial start-up fee for signing up with Rita's lawn mowing service is $20, using simultaneous equations.

Learn more about simultaneous equations at https://brainly.com/question/148035

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