a(n) = 4n - 20
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

an 4n 20 Which equation represents the inverse function na which takes the money raised as input and returns the number of tickets sold as output class=

Respuesta :

Answer:

Option A.

Step-by-step explanation:

The given function is

[tex]a(n)=4n-20[/tex]

It can be written as

[tex]a=4n-20[/tex]

Add 20 on both sides.

[tex]a+20=4n-20+20[/tex]

[tex]a+20=4n[/tex]

Divide both sides by 4.

[tex]\dfrac{a+20}{4}=n[/tex]

Interchange the sides.

[tex]n=\dfrac{a+20}{4}[/tex]

Now, it can written in the function form as

[tex]n(a)=\dfrac{a+20}{4}[/tex]

Therefore, the correct option is A.