Question
Zoey is a waitress. She earns $6 per hour plus tips. Zoey is scheduled to work 4 hours tonight. She needs to earn at least $76 tonight to pay her cell phone bill.
Which inequality about , Zoey's total amount of tips tonight, in dollars, MUST be true in order for Zoey to earn the needed amount of money?
Responses
A d is less than 52
B d is greater than or equal to 52
C d is greater than or equal to 70
D d is less than or equal to 24
Which inequality about , Zoey's total amount of tips tonight, in dollars, MUST be true in order for Zoey to earn the needed amount of money?
Responses
A d is less than 52
B d is greater than or equal to 52
C d is greater than or equal to 70
D d is less than or equal to 24
Answers
GPT-4o mini
To find the inequality that must be true for Zoey's total amount of tips \( d \) in order for her to earn at least $76 tonight, we first calculate how much she will earn from her hourly wage.
Zoey earns $6 per hour and is working for 4 hours, so her earnings from her wage are:
\[
6 \text{ dollars/hour} \times 4 \text{ hours} = 24 \text{ dollars}
\]
To meet her goal of at least $76, we set up the following inequality where \( d \) represents her tips:
\[
24 + d \geq 76
\]
Now, we solve for \( d \):
\[
d \geq 76 - 24
\]
\[
d \geq 52
\]
So the inequality that must be true for Zoey's total amount of tips tonight to meet her requirement is:
**B** \( d \) is greater than or equal to 52.
Zoey earns $6 per hour and is working for 4 hours, so her earnings from her wage are:
\[
6 \text{ dollars/hour} \times 4 \text{ hours} = 24 \text{ dollars}
\]
To meet her goal of at least $76, we set up the following inequality where \( d \) represents her tips:
\[
24 + d \geq 76
\]
Now, we solve for \( d \):
\[
d \geq 76 - 24
\]
\[
d \geq 52
\]
So the inequality that must be true for Zoey's total amount of tips tonight to meet her requirement is:
**B** \( d \) is greater than or equal to 52.