Question

A venue can sell 850 tickets per concert. For an upcoming concert, they have been selling 25 tickets a day. Write a linear function that represents the number of tickets remaining at a given time.

Answer 1

The linear function is equal to
`f(x)=-25x+850`

Explanation:

Let

y -----> the number of tickets remaining at a given time

x -----> the time in days

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope and b is the y-intercept (original number of tickets)

In this problem we have

`m=-25(tickets)/(day)` ----> is negative because is decreasing

`b=850\ tickets`

substitute

`y=-25x+850`

Convert to function notation

`f(x)=-25x+850`