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boyakko [2]
2 years ago
6

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car

containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?
Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

The charges of entrance fee for a bus containing 30 people is $98

<h3>Equation</h3>

let

  • Fixed charge = x
  • Additional charge per person = y
  • Number of person = m

Charges For 2 people = mx + y

14 = 2x + y

Charges For 4 people = mx + y

20 = 4x + y

14 = 2x + y

20 = 4x + y

  • subtract both equation

20 - 14 = 4x - 2x

6 = 2x

x = 6/2

x = 3

Substitute x = 3 into

14 = 2x + y

14 = 2(3) + y

14 = 6 + y

14 - 6 = y

8 = y

Charges For 8 people = mx + y

= 8(3) + 8

= 24 + 8

= $32

Therefore,

Charges For 30 people = mx + y

= 30(3) + y

= 90 + 8

= $98

Learn more about equation:

brainly.com/question/14692256

#SPJ1

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