31. A student brought concert tickets online. The total cost, c, in dollars, of t tickets can be found using the funtion below
c=24.50t+9.5
If the student spent a total of $132 on tickets, how many tickets did he buy?​

Respuesta :

Answer:

He bought 5 tickets.

Step-by-step explanation:

The cost of buying t tickets is given by the following function:

[tex]c(t) = 24.50t + 9.5[/tex]

If the student spent a total of $132 on tickets, how many tickets did he buy?​

This is t when [tex]c(t) = 132[/tex]. So

[tex]c(t) = 24.50t + 9.5[/tex]

[tex]132 = 24.50t + 9.5[/tex]

[tex]24.50t = 122.5[/tex]

[tex]t = \frac{122.5}{24.5}[/tex]

[tex]t = 5[/tex]

He bought 5 tickets.