anmadero78
contestada

1. The creek festival charges and entry fee plus $1.25 per ticket needed for the rides. Jennifer spent her money only on ride tickets and festival admission. The price of the festival admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Jennifer spent a total of $30.75 on the entry fee plus 15 ride tickets. How much did Jennifer pay for the entry fee?

(b) James has $22 he can spend at the festival on the entry fee and tickets. How many tickets can James buy?

(c) Let x represent the number of ride tickets purchased and y represent the total cost of festival entry fee and ride tickets. Write an equation to calculate the total cost of the entry fee and festival admission for a person who purchases x tickets.

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Respuesta :

sqdancefan

Given

  • ride tickets cost $1.25 each
  • entry fee cost is the same in each instance
  • Jennifer spent $30.75 on 15 rides and entry fee
  • James' budget is $22

Find

(a) entry fee cost

(b) the number of ride tickets James can buy (after he pays the entry fee)

(c) an equation for total cost y for purchase of x tickets

Solution

(a) We know the total cost is the cost of entry fee and ride tickets. For Jennifer, this is ...

... 30.75 = (entry fee) + 15×1.25

... 30.75 -18.75 = (entry fee)

entry fee = 12.00 . . . dollars

(b) If James spends his entire budget on entry fee and x rides, the number of ride tickets he can buy is given by ...

... 22 = 12 + 1.25x

... 10 = 1.25x

... 10/1.25 = x = 8

James can buy 8 ride tickets.

(c) The equation for total cost that we have been using is ...

... total cost = entry fee + (cost per ticket)×(number of tickets)

... y = 12 + 1.25x

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