Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen worked and the total number of tickets she sold.

Question

Hours (h) Tickets (t)
1 23
2 46
3 69
4 92
Based on the table, write an equation for the relation between the number hours Gwen worked and the number of tickets she sold.
A) ht = 23
B) t = h/23
C) h = 23t
D) t = 23h

Answer 1

To determine the relationship between the number of hours Gwen worked (h) and the number of tickets she sold (t), we need to observe how the number of tickets increases with the hours worked.

From the data:

• When h = 1, t = 23
• When h = 2, t = 46
• When h = 3, t = 69
• When h = 4, t = 92

We can see that for each hour worked, the number of tickets sold increases by 23. This suggests that the relationship is linear, and we can express the total number of tickets sold as a function of hours worked.

The number of tickets can be represented as follows: \[ t = 23h \]

So the correct answer is:

D) t = 23h