Question

Please help me if you can ‼️

A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets.

Answer 1

`y=14.5x+5`

Explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(92-63)/(6-4)`

`m=(29)/(2)=\$14.5\ per\ ticket`

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope b is the y-intercept

we have

`m=14.5`

`point\ (4,63)`

substitute

`63=14.5(4)+b`

solve for b

`b=63-14.5(4)`

`b=\$5`

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

`y=14.5x+5`