amarieon999
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our 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 hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.