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

h=23t
h is equal to 23 t

t=23h
t is equal to 23 h

t=h23
t is equal to h over 23

ht=23

1 answer

To determine 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 observe that as the number of hours (h) increases by 1, the number of tickets (t) increases by 23. This indicates a linear relationship.

To find the equation, we can express t as a function of h. Since for every hour worked, Gwen sells 23 tickets, we can write the equation:

\[ t = 23h \]

So, the correct response is:

t = 23h
(t is equal to 23 times h)