Question

The jazz band is selling tickets to raise money for new music stands.

They already had some money in their account when they started
selling tickets at $5.00 each. After selling 3 tickets, the band had a
total of $50 in their account.
Let x = the number of tickets sold, and let y = the total
amount of money in the jazz band's account.
Write an equation in point-slope form.

Answer 1

Answer: y - $50 = $5*(x - 3)

Explanation:

We know that each ticket is sold at $5.00

The band initially had an amount of money M.

We know that after selling 3 tickets, the band had $50

We can write this as:

M + 3*$5.00 = $50

M + $15 = $50

M = $50 - $15 = $35

We want to write the equation for the account in the point-slope form.

We know that the slope will be equal to the cost of a single ticket, and we already have the point:

x = 3

y = $50

Then we can write:

y - $50 = $5*(x - 3)

This is the equation we wanted to find.