Respuesta :

Solution: Part A

If n is the number of tickets purchased, write an equation that gives the total cost, c, of buying n tickets

Answer:

We know that a ticket costs $4.50

Now if n tickets are purchased, the total cost is given below:

[tex]c=4.50 \times n[/tex]

Therefore, the equation that gives the total cost, c, of buying n tickets is [tex]c=4.50 \times n[/tex]

Part B:

Suppose the total cost for n tickets is $36. What is the total cost if one more ticket is purchased?

Answer: The number of tickets purchased, if the total cost = $36 is:

[tex]n=\frac{36}{4.5}[/tex]

         [tex]=8[/tex]

Now if one more ticket is purchased, there will be 8 +1 =9 tickets.

Therefore, the cost of 9 tickets is:

[tex]c=4.50 \times 9 = 40.5[/tex]

Hence the total cost if one more ticket is purchased is $40.5