Question

Fiona adds lb of fertilizer for every 12 lb of peat moss. What is the constant of proportion the relationship between the weight of the fertilizer and the weight of the peat moss?

Answer 1

The constant of proportionality between the weight of fertilizer and peat moss is found by dividing the weight of fertilizer (1 lb) by the weight of peat moss (12 lb), resulting in a constant of 0.0833.

Step-by-step explanation:

The student is asking about the constant of proportionality in the relationship between the weight of fertilizer and the weight of peat moss. In this case, Fiona adds 1 lb of fertilizer for every 12 lb of peat moss. To find the constant of proportionality, we divide the amount of fertilizer by the amount of peat moss.

The constant of proportionality is calculated as follows:

1. Identify the quantities involved: 1 lb of fertilizer and 12 lb of peat moss.
2. Divide the weight of the fertilizer by the weight of the peat moss: 1 lb fertilizer / 12 lb peat moss = 1/12 or 0.0833(repeating).

Therefore, the constant of proportionality is 0.0833, indicating that for every unit of peat moss, 0.0833 units of fertilizer are added.