Question
Write inequalities to represent the situations below.
To be eligible for the senior admission rate, a visitor must be at least 55 years old.
Use y to represent the age (in years) of a visitor who gets the senior rate.
To be eligible for financial aid, a student must earn no more than $20,000 per year.
Use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.
To be eligible for the senior admission rate, a visitor must be at least 55 years old.
Use y to represent the age (in years) of a visitor who gets the senior rate.
To be eligible for financial aid, a student must earn no more than $20,000 per year.
Use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.
Answers
GPT-4o mini
To represent the situations described using inequalities:
1. For the age eligibility for the senior admission rate:
\[
y \geq 55
\]
Here, \( y \) represents the age (in years) of a visitor who gets the senior rate. This inequality states that the age must be at least 55 years.
2. For the financial aid eligibility based on yearly earnings:
\[
s \leq 20000
\]
Here, \( s \) represents the yearly earnings (in dollars) of a student eligible for financial aid. This inequality states that the earnings must be no more than $20,000 per year.
1. For the age eligibility for the senior admission rate:
\[
y \geq 55
\]
Here, \( y \) represents the age (in years) of a visitor who gets the senior rate. This inequality states that the age must be at least 55 years.
2. For the financial aid eligibility based on yearly earnings:
\[
s \leq 20000
\]
Here, \( s \) represents the yearly earnings (in dollars) of a student eligible for financial aid. This inequality states that the earnings must be no more than $20,000 per year.