Question

Rides, r Cost, c 3 $19.50 4 $23.00 Use the table shown to answer problems 10-11. 10. A state fair charges $9 for general admission and $3.50 for each ride. Use the pattern in the table to find the cost of 5 rides and 8 rides. Then write an equation for the pattern. 11. Find the cost c for 14 rides. 5 6 $30.00 8 10. Complete the table. Rides, 3 Cost, c $19.50 $23.00 4 5 6 $30.00 8 $

Answer 1

Given:

Cost of general admission is 9 dollars.

Cost of each ride is 3.5 dollars.

First, let's find the cost equation for the given conditions.

`\begin{gathered} \text{Total cost=Fixed cost for general admission+(Number of rides}* Cost\text{ of each ride)} \\ C=9+n(3.5) \end{gathered}`

Let's fill the given table.

Cost for 5 rides is,

`\begin{gathered} C=9+5(3.5) \\ C=9+17.5 \\ C=26.5 \end{gathered}`

Hence, the cost for 5 rides is $26.5.

Similarly, cost for 8 rides is,

`\begin{gathered} C=9+8(3.5) \\ C=9+28 \\ C=37 \end{gathered}`

Hence, the cost for 8 rides is $37.

Then, the cost for 14 rides will be,

`\begin{gathered} C=9+14(3.5) \\ C=9+49 \\ C=58 \end{gathered}`

Hence, the cost for 14 rides is $58.