Question

An amusement park in Atlanta offers a child's ticket for $29.99 and an adult ticket for $39.99.

a) Round the individual ticket prices to the nearest dollar and write an expression for the total ticket cost for a family with A adults and C children.

b) Which would pay more, a family with one adult and four children, or a family with three adults and one child?

Answer 1

To calculate the total ticket cost for a family, round the ticket prices to the nearest dollar and use the expression ($40 × number of adults) + ($30 × number of children). A family with one adult and four children will pay more than a family with three adults and one child.

Step-by-step explanation:

The question involves rounding numbers and creating an expression to calculate the total ticket cost for a family attending an amusement park based on the number of adults and children.

Part A:

Rounded to the nearest dollar, the child's ticket is $30 and the adult's ticket is $40. The expression for the total ticket cost for A adults and C children would be:

Total Ticket Cost = ($40 × A) + ($30 × C)

Part B:

For one adult and four children, the total cost is ($40 × 1) + ($30 × 4) = $40 + $120 = $160.

For three adults and one child, the total cost is ($40 × 3) + ($30 × 1) = $120 + $30 = $150.

Thus, a family with one adult and four children would pay more.