Complete the table to find the annual cost of a membership, c, given different numbers of tickets purchased throughout the year, t. You can solve on paper and then enter your answers on Zearn.

Question

t, the number of tickets per year
Input Output Arrow
30+5t
Input Output Arrow
c, the annual cost
c=30+5t

t, the number of tickets c, the cost
3
6
9

Answer 1

To find the annual cost of a membership \( c \) based on the formula \( c = 30 + 5t \), we will plug in the different values of \( t \) (the number of tickets per year) into the equation.

1. For \( t = 3 \): \[ c = 30 + 5(3) = 30 + 15 = 45 \]

2. For \( t = 6 \): \[ c = 30 + 5(6) = 30 + 30 = 60 \]

3. For \( t = 9 \): \[ c = 30 + 5(9) = 30 + 45 = 75 \]

Now we can complete the table:

| t, the number of tickets | c, the cost | |--------------------------|--------------| | 3 | 45 | | 6 | 60 | | 9 | 75 |

So the filled table is:

• For \( t = 3 \), \( c = 45 \)
• For \( t = 6 \), \( c = 60 \)
• For \( t = 9 \), \( c = 75 \)