The 8th-grade t-shirt sells for $12 and costs $9.45 to make. The school sells 215 of them to their 8th graders. If they allocate 85% of the profits to the 8th-grade dance, which expression could be used to calculate the amount of money they raised for the dance?

A) 215(12 - 9.45)(0.85)
B) 215(12)(85)
C) 215(12 - 9.45)(0.15)
D) 215(12 - 9.45)(85)
E) 215(12) - (9.45)(0.85)

Now, use this expression to determine if they have raised at least $300 for food and decorations.

The correct expression to calculate the money raised is a) 215(12 - 9.45)(0.85), which equals $461.21. Therefore, the school raised more than the target $300 for the 8th-grade dance.

Explanation:

The correct expression to calculate the amount of money raised for the dance is a) 215(12 - 9.45)(0.85). This is because each shirt sells for $12, but costs $9.45 to make. Therefore, the profit per shirt is $(12 - 9.45). This amount is then multiplied by the 215 shirts that were sold to obtain the total profit. Finally, to find out how much of this total profit is allocated to the 8th-grade dance, we must multiply by 85%, or 0.85.

Now let's use this expression to see if they have raised at least $300 for the dance. Performing the calculations, we get: 215(12 - 9.45)(0.85) = 215(2.55)(0.85) = $461.21

Therefore, yes, they have raised more than $300 for the food and decorations at the dance.

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