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The track team plans to buy new jerseys. If they buy more than 25 jerseys, the cost is \[tex]$12.99 each. The total cost of the jerseys is a function of the number purchased, \( n \).

\[
C(n) = 12.99n
\]

Use the drop-down menus to complete the statements below about the domain of this function.

The domain of this function is first restricted to \(\square\) because they can order \(\square\) number of jerseys.

The domain is restricted to numbers greater than 25 because the track team must buy more than 25 in order to get the price of \$[/tex]12.99 each.


Sagot :

### Step-by-Step Solution:

1. Identify the Function Domain and Variable Constraint:
- The track team is purchasing jerseys, and the number of jerseys purchased is denoted by [tex]\( n \)[/tex].
- According to the given condition, if they buy more than 25 jerseys, the cost is [tex]$12.99 each. 2. Analyze the Function and Constraint: - The total cost function is given as: \[ C(n) = 12.99 \times n \] - For the cost condition of $[/tex]12.99 per jersey to apply, the team must purchase more than 25 jerseys.

3. Define the Domain:
- The constraint specifies that the number of jerseys purchased [tex]\( n \)[/tex] must be more than 25.
- Therefore, the minimum number of jerseys they can purchase to qualify for the [tex]$12.99 price per jersey is 26, as the track team must purchase one more than 25. 4. Conclusion: - The domain of this function is therefore restricted to numbers greater than 25. ### Completed Statements: 1. The domain of this function is first restricted to: \(\boxed{\text{one more than the number of jerseys}}~25\) 2. The domain is restricted to numbers greater than 25 because the track team: \(\boxed{\text{must buy more than 25 in order to get the price of } \$[/tex]12.99 \text{ each.}}\)

Thus, the correct restriction on the domain based on the provided information is:

[tex]\[ \boxed{26} \][/tex]
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