Match the following equation to the correct situation.

Question

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.

Answer 1

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.