Question

Admission to the local amusement park is $5 for children under 10, $8 for children aged 11-16, and $10 for all others. Parking will cost $15, and tickets for the rides are $1.50 each. A family of 6 would like to figure out

how much money to bring to the amusement park. Three children are
under 10, 1 child is 13, and the rest of the family is over the age of 16. They
also want to make sure that every member of the family is able to ride 5
rides. Write an expression to determine the total cost for the family of
six.

Answer 1

C = 5x + 8y + 15z + 1.5r + 15

Where C = cost for the family of 6

Explanation:

Let:

x = number of children under 10

y = number of children 11-16

z = number of all others (16 and above)

r = number of rides

Cost:

Under 10 = $5

11-16 = $8

Above 16 = $15

Ticket Ride = $1.50

We have an additional $15 for parking

So from there, we can find the cost by getting the total:

Cost for each TOTAL

x x $5 $5x

y x $8 $8y

z x $15 $15z

r x $1.50 $1.50r

Constant : $15 for parking

So the expression would then be:

C = 5x + 8y + 15z + 1.5r + 15

Given:

6 family members

x = 3

y = 1

z = 2

r = 5

We fill in the formula

C = 5x + 8y + 15z + 1.5r + 15

C = 5(3) + 8(1) + 15(2) + 1.5(5) + 15

C = 15 + 8 + 30 + 7.5 + 15

C = 75.50