amarieon999
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Raffle tickets are being sold for a fundraiser. The function [tex]\( a(n) \)[/tex] relates the amount of money raised to the number of tickets sold, [tex]\( n \)[/tex].

The function [tex]\( a(n) = 3n - 20 \)[/tex] takes the number of tickets sold as input and returns the amount of money raised as output.

Which equation represents the inverse function [tex]\( n(a) \)[/tex], which takes the money raised as input and returns the number of tickets sold as output?

A. [tex]\( n(a) = \frac{a + 20}{3} \)[/tex]
B. [tex]\( n(a) = \frac{a}{3} + 20 \)[/tex]
C. [tex]\( n(a) = \frac{a - 20}{3} \)[/tex]
D. [tex]\( n(a) = \frac{a}{3} - 20 \)[/tex]

Sagot :

GinnyAnswer
To find the inverse function [tex]\( n(a) \)[/tex], we need to start with the original function:
[tex]\[ a(n) = 3n - 20 \][/tex]

The goal is to express [tex]\( n \)[/tex] in terms of [tex]\( a \)[/tex]. Let's follow these steps:

1. Start by writing the original equation:
[tex]\[ a = 3n - 20 \][/tex]

2. To isolate [tex]\( n \)[/tex], first add 20 to both sides of the equation:
[tex]\[ a + 20 = 3n \][/tex]

3. Next, divide both sides by 3 to solve for [tex]\( n \)[/tex]:
[tex]\[ n = \frac{a + 20}{3} \][/tex]

Therefore, the inverse function [tex]\( n(a) \)[/tex] is:
[tex]\[ n(a) = \frac{a + 20}{3} \][/tex]

So, the correct answer is [tex]\( \boxed{A} \)[/tex].
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.