myownghayes
myownghayes myownghayes
  • 08-03-2022
  • Mathematics
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I need the answer to this systems word problem. Step by step explanation please

I need the answer to this systems word problem Step by step explanation please class=

Respuesta :

chessmkumar chessmkumar
  • 08-03-2022

Answer:

25 miles, and the cost will be $37.50.

Step-by-step explanation:

Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.

Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.

0.2x = 5

x = 25

Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.

So f(x) = g(x) at x = 25, and the output will be 37.5.

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