Question

1. Cala uses 2 pounds of fertilizer for a 100-foot row of vegetables. At this rate, how many pounds of fertilizer would she use for a 450-foot row of vegetables?

2. The directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables. Which brand would Cala need more of to fertilize her vegetables? Explain.

Answer 1

Cala would need 9 pounds of fertilizer for a 450-foot row of vegetables. Upon comparison, Cala's fertilizer covers more feet per pound than Grow Better, so she would need less of her own brand to cover the same area.

Step-by-step explanation:

To determine how many pounds of fertilizer Cala would use for a 450-foot row of vegetables, we need to use the rate given, which is 2 pounds of fertilizer for every 100 feet. We calculate the number of 100-foot sections in 450 feet, which is 4.5, and then multiply this number by the pounds of fertilizer per 100 feet.

2 pounds/100 feet x 450 feet = 9 pounds

Cala would need 9 pounds of fertilizer for a 450-foot row of vegetables. To compare which brand of fertilizer Cala would need more of, we compare the coverage provided by Cala's fertilizer to that provided by Grow Better. Grow Better covers 1,000 feet with 25 pounds, so it provides 40 feet of coverage per pound.

Cala's rate:
2 pounds/100 feet = 0.02 pounds per foot
(1/0.02 = 50 feet per pound)

Grow Better's rate:
25 pounds/1,000 feet = 0.025 pounds per foot
(1/0.025 = 40 feet per pound)

Since Cala's fertilizer covers more feet per pound, she would need less of her fertilizer than Grow Better fertilizer to cover the same length of vegetable row.