Question

at the gardening store, the jumbo - sized fertilizer bags decreased by 25%. if the old bags held 24 pounds of fertilizer, how much do the new bags hold? which point represents the unknown, the new jumbo - size bags of fertilizer? (there are two number lines, one labeled with fertilizer pounds (0, a, b, 24, c) and one labeled with percentages (0%, 25%, 50%, 75%, 100%, 125%), and three options a, b, c at the bottom)

Explanation:

Step1: Find the percentage of new bags

The old bags are 100%, and they decreased by 25%, so the new percentage is \(100\% - 25\% = 75\%\).

Step2: Relate percentage to the number line

The number line for percentage has 75% at point B. Also, calculating the new amount: \(24\times(1 - 0.25)=24\times0.75 = 18\). On the first number line, 24 is at a mark, and 18 (75% of 24) should correspond to the 75% mark (point B) as the percentage and quantity scales are related.

Answer:

B