Question
Match the following equation to the correct situation.
80%(p + 3.6) = 80%p + 2.88
A.
The number of racers that run 80% of p meters.
B.
The amount the school district gets in federal aid for 80% of p students for 2.88 months.
C.
Two printers can print a specific number of pages in one minute when one prints 2.88 per minute and the other is printing at 80% of its maximum pages per minute, p.
D.
The average GPA for 80% of seventh graders was greater than 2.88.
80%(p + 3.6) = 80%p + 2.88
A.
The number of racers that run 80% of p meters.
B.
The amount the school district gets in federal aid for 80% of p students for 2.88 months.
C.
Two printers can print a specific number of pages in one minute when one prints 2.88 per minute and the other is printing at 80% of its maximum pages per minute, p.
D.
The average GPA for 80% of seventh graders was greater than 2.88.
Answers
GPT-4o mini
The correct match for the equation \(80%(p + 3.6) = 80%p + 2.88\) is:
**C.** Two printers can print a specific number of pages in one minute when one prints 2.88 per minute and the other is printing at 80% of its maximum pages per minute, p.
Here's the reasoning:
- The left side of the equation represents the output of a printer working at 80% of its maximum capacity, while the right side accounts for two components: the output of the first printer (2.88 pages per minute) and the output of the second printer (80% of p pages per minute).
- The equation reflects the relationship between the individual outputs and their combined effect, making scenario C the most fitting option.
The other situations do not adequately match the mathematical relationship given in the equation.
**C.** Two printers can print a specific number of pages in one minute when one prints 2.88 per minute and the other is printing at 80% of its maximum pages per minute, p.
Here's the reasoning:
- The left side of the equation represents the output of a printer working at 80% of its maximum capacity, while the right side accounts for two components: the output of the first printer (2.88 pages per minute) and the output of the second printer (80% of p pages per minute).
- The equation reflects the relationship between the individual outputs and their combined effect, making scenario C the most fitting option.
The other situations do not adequately match the mathematical relationship given in the equation.