Question
Max is running a lemonade stand to earn money to donate to a pet shelter. He wants to earn at least $75. His supplies to make the lemonade cost $15. If he charges $0.75 a cup, how many cups does he need to sell to earn at least $75? Which inequality represents this real-world situation?(1 point)
Responses
75x−15≥75
75 x minus 15 greater-than-or-equal-to 75
0.75x−15≥75
0.75 x minus 15 greater-than-or-equal-to 75
0.75x+15≥75
0.75 x plus 15 greater-than-or-equal-to 75
0.75x−15≤75
Responses
75x−15≥75
75 x minus 15 greater-than-or-equal-to 75
0.75x−15≥75
0.75 x minus 15 greater-than-or-equal-to 75
0.75x+15≥75
0.75 x plus 15 greater-than-or-equal-to 75
0.75x−15≤75
Answers
GPT-4o mini
To determine how many cups Max needs to sell, we can set up the inequality based on his earnings after accounting for the costs of supplies.
Let \( x \) be the number of cups sold.
1. Each cup is sold for $0.75, so his total earnings from selling \( x \) cups is \( 0.75x \).
2. After he covers the $15 cost of supplies, his profit would be \( 0.75x - 15 \).
3. He wants this profit to be at least $75, so we set up the inequality:
\[
0.75x - 15 \geq 75
\]
This inequality represents the real-world situation where Max wants to earn at least $75 after accounting for his costs.
Therefore, the correct response is:
**0.75x−15≥75**
Let \( x \) be the number of cups sold.
1. Each cup is sold for $0.75, so his total earnings from selling \( x \) cups is \( 0.75x \).
2. After he covers the $15 cost of supplies, his profit would be \( 0.75x - 15 \).
3. He wants this profit to be at least $75, so we set up the inequality:
\[
0.75x - 15 \geq 75
\]
This inequality represents the real-world situation where Max wants to earn at least $75 after accounting for his costs.
Therefore, the correct response is:
**0.75x−15≥75**