Question

The admission to a local fair is $10.00 for each adult and $6.00 for each child. Each ride costs $1.50 for an adult and $1.00 for a child. a. Write an expression that represents how much more an adult will spend at the fair.

Answer 1

To determine how much more an adult spends at the fair than a child, we calculate the cost for both based on admission and rides, then subtract the child's cost from the adult's. The expression $4.00 + $0.50x represents the additional amount an adult spends, where x is the number of rides.

Step-by-step explanation:

To determine how much more an adult will spend at the fair compared to a child, we first need to express the total cost for an adult and a child separately. Let's denote x as the number of rides taken.

For an adult, the total cost would be the admission fee plus the cost of rides:

• Admission: $10.00
• Rides: $1.50 × x
• Total cost for an adult: $10.00 + ($1.50 × x)

For a child, the total cost is:

• Admission: $6.00
• Rides: $1.00 × x
• Total cost for a child: $6.00 + ($1.00 × x)

To find out how much more an adult spends, we subtract the child's total cost from the adult's total cost:

Adult's total cost - Child's total cost = ($10.00 + $1.50x) - ($6.00 + $1.00x) = $4.00 + $0.50x

This expression, $4.00 + $0.50x, represents how much more an adult will spend at the fair depending on the number of rides taken (x).