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. 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. (1 point) Responses t=h23 t is equal to h over 23 t=23h t is equal to 23 h ht=23 h t is equal to 23 h=23t

1 answer

To determine the equation that relates the number of hours Gwen worked (h) to the number of tickets she sold (t), we can analyze the data given.

The table shows:

  • 1 hour → 23 tickets
  • 2 hours → 46 tickets
  • 3 hours → 69 tickets
  • 4 hours → 92 tickets

From the data, we can see that for every hour Gwen works, she sells 23 tickets. This indicates a direct proportionality between the hours worked and tickets sold.

The relationship can be expressed in the form of a linear equation:

\[ t = 23h \]

So, the correct response from your options is:

t = 23h