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Answer :
To solve the problem, we need to calculate and interpret the real-world context of [tex]\( f(24) \)[/tex] using the given function [tex]\( f(x) = 1.75x + 12.50 \)[/tex]. Here, [tex]\( x \)[/tex] represents the number of tickets a person purchases for rides.
Let's find [tex]\( f(24) \)[/tex]:
1. Identify the function: [tex]\( f(x) = 1.75x + 12.50 \)[/tex].
2. Substitute [tex]\( x = 24 \)[/tex] into the function:
[tex]\( f(24) = 1.75(24) + 12.50 \)[/tex].
3. Calculate the product:
[tex]\( 1.75 \times 24 = 42 \)[/tex].
4. Add 12.50 to the product:
[tex]\( 42 + 12.50 = 54.50 \)[/tex].
5. Therefore, [tex]\( f(24) = 54.50 \)[/tex].
Interpretation: A person who purchases 24 tickets will pay [tex]$54.50 at the state fair.
So, the correct interpretation in real-world context is:
\( f(24) = 54.50 \); therefore, a person who purchases 24 tickets will pay $[/tex]54.50.
Please note that none of the given answer choices match this solution, but based on our calculation and interpretation, $54.50 is the correct amount a person will pay.
Let's find [tex]\( f(24) \)[/tex]:
1. Identify the function: [tex]\( f(x) = 1.75x + 12.50 \)[/tex].
2. Substitute [tex]\( x = 24 \)[/tex] into the function:
[tex]\( f(24) = 1.75(24) + 12.50 \)[/tex].
3. Calculate the product:
[tex]\( 1.75 \times 24 = 42 \)[/tex].
4. Add 12.50 to the product:
[tex]\( 42 + 12.50 = 54.50 \)[/tex].
5. Therefore, [tex]\( f(24) = 54.50 \)[/tex].
Interpretation: A person who purchases 24 tickets will pay [tex]$54.50 at the state fair.
So, the correct interpretation in real-world context is:
\( f(24) = 54.50 \); therefore, a person who purchases 24 tickets will pay $[/tex]54.50.
Please note that none of the given answer choices match this solution, but based on our calculation and interpretation, $54.50 is the correct amount a person will pay.
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