We appreciate your visit to The amount of money a state fair charges is modeled by the function tex f x 1 75x 12 50 tex where tex x tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem, we need to interpret the function [tex]\( f(x) = 1.75x + 12.50 \)[/tex] in the real-world context. Here, [tex]\( x \)[/tex] represents the number of tickets a person buys to ride the rides at a state fair.
Let's break it down:
1. Identify the Function Components:
- The function is [tex]\( f(x) = 1.75x + 12.50 \)[/tex].
- The term [tex]\( 1.75x \)[/tex] represents the cost associated with buying the tickets, where each ticket costs [tex]$1.75.
- The constant \( 12.50 \) can be seen as a base cost or initial fee that is added regardless of the number of tickets purchased.
2. Calculate \( f(24) \):
- We want to find the total cost when a person buys 24 tickets.
- Substitute \( x = 24 \) into the function:
\[
f(24) = 1.75(24) + 12.50
\]
3. Perform the Calculation:
- First, calculate the cost of the tickets: \( 1.75 \times 24 = 42 \).
- Add the base cost: \( 42 + 12.50 = 54.50 \).
4. Interpret the Result:
- The result, \( f(24) = 54.50 \), means that a person who purchases 24 tickets will pay a total of $[/tex]54.50.
Therefore, the correct interpretation is that a person who buys 24 tickets will pay $54.50 in total.
Let's break it down:
1. Identify the Function Components:
- The function is [tex]\( f(x) = 1.75x + 12.50 \)[/tex].
- The term [tex]\( 1.75x \)[/tex] represents the cost associated with buying the tickets, where each ticket costs [tex]$1.75.
- The constant \( 12.50 \) can be seen as a base cost or initial fee that is added regardless of the number of tickets purchased.
2. Calculate \( f(24) \):
- We want to find the total cost when a person buys 24 tickets.
- Substitute \( x = 24 \) into the function:
\[
f(24) = 1.75(24) + 12.50
\]
3. Perform the Calculation:
- First, calculate the cost of the tickets: \( 1.75 \times 24 = 42 \).
- Add the base cost: \( 42 + 12.50 = 54.50 \).
4. Interpret the Result:
- The result, \( f(24) = 54.50 \), means that a person who purchases 24 tickets will pay a total of $[/tex]54.50.
Therefore, the correct interpretation is that a person who buys 24 tickets will pay $54.50 in total.
Thanks for taking the time to read The amount of money a state fair charges is modeled by the function tex f x 1 75x 12 50 tex where tex x tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
