Mr. Jenkins is going to buy museum tickets for a class trip. The museum director quotes him the following prices:

• 20 tickets cost a total of $250.
• 30 tickets cost a total of $375.
• 50 tickets cost a total of $625.

a. Based on these prices, is the cost of each ticket the same? Explain how you know.
So I divided each number and got 12.5
b. Make a table of values to find the total cost of 32, 36, and 40 tickets.
I tried and didn't get this. Can you show the steps to doing this?
c. Write an equation to find the total cost, represented by y, of x museum tickets.
I didn't get this either.
d. Mr. Jenkins spends $800 on museum tickets for the class trip. Use the equation you wrote to find how many tickets Mr. Jenkins buys. Show your work or explain how you know.
I did 800/12.5=64

Can you check my answer and help me with the ones I didn't get?

Looks like you double-posted this, and one of the monitors deleted one of them.

And I had just answered the one that got deleted.

Sure! Let's go through each question step by step:

a. Based on these prices, is the cost of each ticket the same? Explain how you know.
To determine if the cost of each ticket is the same, we can compare the cost per ticket for each given quantity. You correctly divided each total cost by the number of tickets to find the cost per ticket.

When we divide $250 by 20 tickets, we get $12.50 per ticket.
Similarly, dividing $375 by 30 tickets also gives us $12.50 per ticket.
And dividing $625 by 50 tickets results in $12.50 per ticket as well.

Since the cost per ticket is the same ($12.50) for all three given quantities, we can conclude that the cost of each ticket is the same.

b. Make a table of values to find the total cost of 32, 36, and 40 tickets.
To find the total cost for 32, 36, and 40 tickets, we can use the cost per ticket that we found earlier ($12.50). We multiply the cost per ticket by the number of tickets to get the total cost.

Let's create a table:

Number of Tickets | Cost per Ticket | Total Cost
32 | $12.50 | $400
36 | $12.50 | $450
40 | $12.50 | $500

So the total cost for 32 tickets is $400, for 36 tickets is $450, and for 40 tickets is $500.

c. Write an equation to find the total cost, represented by y, of x museum tickets.
To write an equation to find the total cost, we can use the cost per ticket ($12.50) and the number of tickets (x). We multiply the cost per ticket by the number of tickets to get the total cost.

The equation can be written as: y = 12.50x.

d. Mr. Jenkins spends $800 on museum tickets for the class trip. Use the equation you wrote to find how many tickets Mr. Jenkins buys. Show your work or explain how you know.
To find out how many tickets Mr. Jenkins buys, we need to solve the equation y = 12.50x, where y represents the total cost ($800 in this case).

Substituting 800 for y in the equation:
800 = 12.50x.

To find x, the number of tickets, we divide both sides of the equation by 12.50:
800/12.50 = x.

Calculating this, we get:
x = 64.

Therefore, Mr. Jenkins buys 64 tickets with the $800 he spent.

Your answer of 64 tickets is correct!

a) correct

b)
tickets -- cost
20 ----- 20(12.5) or 250 , that was given
32 ----- 32(12.5) or 400
36 ----- 36(12.5) or ....
40 ----- ........

c) y(12.5) + x(12.5) or

So that means d wasn't correct?

yes, d) is also correct