34. The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at least 5 times as many shirts as hats. The organizers used these inequalities to determine the number of shirts, s, and hats, h, that can be ordered. 10s + 8h < 1800 h> 5s What error did the organizers make? A. The first inequality should be 10s + 8h > 1800. B. The second inequality should be s > 5h. O C. The inequalities should be equations. D. The first inequality should be s+ h < 1800.

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**Question 34: Budget and Inequalities in Souvenir Clothing Purchase**

The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at least 5 times as many shirts as hats. The organizers used these inequalities to determine the number of shirts, \( s \), and hats, \( h \), that can be ordered:

\[ 10s + 8h \leq 1800 \]
\[ h \geq 5s \]

**What error did the organizers make?**

A. The first inequality should be \( 10s + 8h \geq 1800 \).

B. The second inequality should be \( s \geq 5h \).

C. The inequalities should be equations.

D. The first inequality should be \( s + h \leq 1800 \).

---

**Explanation:**

- The first inequality, \( 10s + 8h \leq 1800 \), represents the budget constraint. Each shirt costs $10, and each hat costs $8. The total cost shouldn't exceed $1800.
- The second inequality, \( h \geq 5s \), indicates that the number of hats \( h \) should be at least 5 times the number of shirts \( s \). 

To identify any errors, consider the constraints logically and check each option to see if the inequalities correctly reflect the scenario described.

---

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Transcribed Image Text:**Question 34: Budget and Inequalities in Souvenir Clothing Purchase** The organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each. They plan to buy at least 5 times as many shirts as hats. The organizers used these inequalities to determine the number of shirts, \( s \), and hats, \( h \), that can be ordered: \[ 10s + 8h \leq 1800 \] \[ h \geq 5s \] **What error did the organizers make?** A. The first inequality should be \( 10s + 8h \geq 1800 \). B. The second inequality should be \( s \geq 5h \). C. The inequalities should be equations. D. The first inequality should be \( s + h \leq 1800 \). --- **Explanation:** - The first inequality, \( 10s + 8h \leq 1800 \), represents the budget constraint. Each shirt costs $10, and each hat costs $8. The total cost shouldn't exceed $1800. - The second inequality, \( h \geq 5s \), indicates that the number of hats \( h \) should be at least 5 times the number of shirts \( s \). To identify any errors, consider the constraints logically and check each option to see if the inequalities correctly reflect the scenario described. --- **Powered by LinkIt!**
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