Math  /  Data & Statistics

QuestionFor the high school basketball game, it costs $8\$ 8 for every 4 tickets. Complete the table below showing the cost and the number of tickets. \begin{tabular}{|l|c|c|c|c|c|} \hline Cost (\) & \square & 8 & 14 & \square & 20 \\ \hline Number of tickets & 1 & 4 & \square & 9 & \square$ \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The cost of tickets is proportional to the number of tickets.
2. The cost for 4 tickets is $8.

STEP 2

1. Determine the cost per ticket.
2. Complete the table by calculating the missing values.

STEP 3

Calculate the cost per ticket:
Given that 4 tickets cost $8, the cost per ticket is:
84=2 \frac{8}{4} = 2
So, each ticket costs $2.

STEP 4

Complete the table by calculating the missing values using the cost per ticket.

STEP 5

Calculate the cost for 1 ticket:
Since each ticket costs $2, the cost for 1 ticket is:
1×2=2 1 \times 2 = 2

STEP 6

Calculate the number of tickets for $14:
Since each ticket costs 2,thenumberofticketsfor2, the number of tickets for 14 is:
142=7 \frac{14}{2} = 7

STEP 7

Calculate the cost for 9 tickets:
Since each ticket costs $2, the cost for 9 tickets is:
9×2=18 9 \times 2 = 18

STEP 8

Calculate the number of tickets for $20:
Since each ticket costs 2,thenumberofticketsfor2, the number of tickets for 20 is:
202=10 \frac{20}{2} = 10
The completed table is:
\begin{tabular}{|l|c|c|c|c|c|} \hline Cost (\$) & 2 & 8 & 14 & 18 & 20 \\ \hline Number of tickets & 1 & 4 & 7 & 9 & 10 \\ \hline \end{tabular}

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