anonymous
  • anonymous
Juan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.16 per mile driven. The second plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. How many miles would Juan need to drive for the two plans to cost the same?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
juan to know the answer
iGreen
  • iGreen
We have two equations. y = 0.16x + 49.98 and y = 0.14x + 57.98
iGreen
  • iGreen
It's a system of equations. y = 0.16x + 49.98 y = 0.14x + 57.98 Solve the system of equations using substitution. 0.16x + 49.98 = 0.14x + 57.98 Solve for 'x'

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anonymous
  • anonymous
x=400
anonymous
  • anonymous
right? @iGreen
iGreen
  • iGreen
Yes, that's correct 0.02x + 49.98 = 57.98 0.02x = 8 x = 400
anonymous
  • anonymous
yaay!!
iGreen
  • iGreen
So Juan needs to drive 400 miles for the two plans to be the same.

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