Question

problem 4
abena is planting vegetables in the school garden.
determine how many of each vegetable plant
abena can fit in 1 planter.
use the diagrams if they help with your thinking.
abena wrote the expression $6 \div \frac{3}{4}$ to represent
how many potato plants fill 1 planter.
describe a situation that represents the expression
$8 \div \frac{4}{5}$.

Explanation:

To create a situation for \(8\div\frac{4}{5}\), we can follow the context of planting vegetables. Let's say Abena has a total length of 8 units (for example, 8 feet) of space in a planter for a certain vegetable, and each vegetable plant requires \(\frac{4}{5}\) of a unit (e.g., \(\frac{4}{5}\) of a foot) of space to grow. The expression \(8\div\frac{4}{5}\) would then represent the number of such vegetable plants (like tomato plants) that can fit into the 1 planter, as we are dividing the total space (8) by the space per plant (\(\frac{4}{5}\)) to find the number of plants. Another example: Suppose Abena has 8 liters of soil, and each vegetable plant (say, pepper plants) needs \(\frac{4}{5}\) of a liter of soil to be planted. Then \(8\div\frac{4}{5}\) tells us how many pepper plants can be fit into 1 planter, since we divide the total soil (8 liters) by the soil per plant (\(\frac{4}{5}\) liter) to get the number of plants.

Answer:

A possible situation: Abena has 8 feet of space in a planter for tomato plants. Each tomato plant needs \(\frac{4}{5}\) of a foot of space to grow. The expression \(8\div\frac{4}{5}\) represents the number of tomato plants that can fit in 1 planter. (Other valid situations following the "total quantity ÷ quantity per item = number of items" logic for the planter context are also acceptable.)