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. show all of your work than you so much i will give brainiest answer as well you so much have a good day.

(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

(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

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,