Martha wants to plant 8,000 seeds. If the planting density is 20,000 seeds per acre, which of the following correctly uses a density calculation to solve for the area of the planting land?

1 answer

To solve for the area of the planting land using density calculations, we can use the formula for density, which is:

\[ \text{Density} = \frac{\text{Number of seeds}}{\text{Area (in acres)}} \]

In this case, we can rearrange the formula to solve for area:

\[ \text{Area} = \frac{\text{Number of seeds}}{\text{Density}} \]

Given:

  • Number of seeds = 8,000
  • Density = 20,000 seeds per acre

Now we plug in the values:

\[ \text{Area} = \frac{8,000 \text{ seeds}}{20,000 \text{ seeds per acre}} \]

When we calculate this:

\[ \text{Area} = \frac{8,000}{20,000} = 0.4 \text{ acres} \]

Thus, the correct area of the planting land that Martha needs is 0.4 acres.