Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the

Question

number of hours Gwen worked and the total number of tickets she sold.

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.

t = h/23

t = 23h

h = 23t

ht = 23

Answer 1

To find the relationship between the number of hours Gwen worked (h) and the number of tickets she sold (t), we can analyze the data provided in the chart.

From the chart:

• 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 \( h \) that Gwen works, she sells 23 tickets. Therefore, the relationship can be represented by the equation:

\[ t = 23h \]

This means the total number of tickets sold \( t \) is 23 times the number of hours worked \( h \).

So, the correct answer is:

\[ t = 23h \]