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Answer :
To solve this problem, we need to evaluate the function [tex]\( f(x) = 1.75x + 12.50 \)[/tex] at [tex]\( x = 24 \)[/tex].
Here's how to interpret and solve it step-by-step:
1. Understand the function: The function [tex]\( f(x) = 1.75x + 12.50 \)[/tex] represents the total cost in dollars for purchasing [tex]\( x \)[/tex] tickets at a state fair. Here, [tex]\( 1.75 \)[/tex] is the cost per ticket, and [tex]\( 12.50 \)[/tex] is an initial fee you pay regardless of the number of tickets.
2. Substitute [tex]\( x = 24 \)[/tex]: To find the total cost when someone buys 24 tickets, we substitute [tex]\( x = 24 \)[/tex] into the function.
3. Perform the calculation:
[tex]\[
f(24) = 1.75 \times 24 + 12.50
\][/tex]
4. Calculate the cost of the tickets:
[tex]\[
1.75 \times 24 = 42
\][/tex]
5. Add the initial fee:
[tex]\[
42 + 12.50 = 54.5
\][/tex]
So, the interpretation is: A person who purchases 24 tickets will pay \$54.50.
Here's how to interpret and solve it step-by-step:
1. Understand the function: The function [tex]\( f(x) = 1.75x + 12.50 \)[/tex] represents the total cost in dollars for purchasing [tex]\( x \)[/tex] tickets at a state fair. Here, [tex]\( 1.75 \)[/tex] is the cost per ticket, and [tex]\( 12.50 \)[/tex] is an initial fee you pay regardless of the number of tickets.
2. Substitute [tex]\( x = 24 \)[/tex]: To find the total cost when someone buys 24 tickets, we substitute [tex]\( x = 24 \)[/tex] into the function.
3. Perform the calculation:
[tex]\[
f(24) = 1.75 \times 24 + 12.50
\][/tex]
4. Calculate the cost of the tickets:
[tex]\[
1.75 \times 24 = 42
\][/tex]
5. Add the initial fee:
[tex]\[
42 + 12.50 = 54.5
\][/tex]
So, the interpretation is: A person who purchases 24 tickets will pay \$54.50.
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