Question
Mr. Patton, the golf coach at Springdale High School, is purchasing equipment for the team. He can spend at most $1,500 to purchase golf clubs, which cost $150 per set, and golf balls, which cost $44 per case.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of sets of golf clubs
y = the number of cases of golf balls
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of sets of golf clubs
y = the number of cases of golf balls
Answers
GPT-4o mini
To describe the situation with an inequality in standard form, we need to express the total cost of golf clubs and golf balls in relation to the budget Mr. Patton has.
Given:
- Each set of golf clubs costs $150 (represented by \(150x\)).
- Each case of golf balls costs $44 (represented by \(44y\)).
- The total expenditure cannot exceed $1,500.
The inequality that represents this situation is:
\[ 150x + 44y \leq 1500 \]
In standard form, this is arranged with all terms on one side of the inequality:
\[ 150x + 44y - 1500 \leq 0 \]
This is the standard form of the inequality that represents Mr. Patton's budget constraints for purchasing golf equipment.
Given:
- Each set of golf clubs costs $150 (represented by \(150x\)).
- Each case of golf balls costs $44 (represented by \(44y\)).
- The total expenditure cannot exceed $1,500.
The inequality that represents this situation is:
\[ 150x + 44y \leq 1500 \]
In standard form, this is arranged with all terms on one side of the inequality:
\[ 150x + 44y - 1500 \leq 0 \]
This is the standard form of the inequality that represents Mr. Patton's budget constraints for purchasing golf equipment.