To find the equation that relates the number of hours Gwen worked (h) to the number of tickets she sold (t), we can analyze the data provided in the chart.
From the chart:
- For 1 hour (h = 1), she sold 23 tickets (t = 23).
- For 2 hours (h = 2), she sold 46 tickets (t = 46).
- For 3 hours (h = 3), she sold 69 tickets (t = 69).
- For 4 hours (h = 4), she sold 92 tickets (t = 92).
We can observe that for every hour Gwen works, she sells 23 tickets. This indicates a linear relationship where the number of tickets sold is a multiple of the number of hours worked.
Thus, we can derive the equation: \[ t = 23h \]
This means that the equation that represents the relationship between the hours Gwen worked and the tickets she sold is:
t = 23h