A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on a 40-acre forest?
42 / 5 = ? / 40
42/5 = x/40
42x40= 1680
1680÷5= 336
To determine the expected number of oak trees in a 40-acre forest based on the information given, we need to find the relationship between the number of oak trees and the size of the forest.
In this case, the biologist determined that there were 42 oak trees in a 5-acre forest. To find the oak tree density, we divide the number of oak trees by the size of the forest:
Oak tree density = Number of oak trees / Size of the forest
Oak tree density = 42 oak trees / 5 acres
Oak tree density = 8.4 oak trees/acre
Now that we know the oak tree density, we can use it to estimate the number of oak trees in a 40-acre forest. Multiply the oak tree density by the size of the larger forest:
Number of oak trees = Oak tree density × Size of the forest
Number of oak trees = 8.4 oak trees/acre × 40 acres
Number of oak trees = 336 oak trees
Therefore, it can be expected that there will be approximately 336 oak trees in a 40-acre forest based on the given oak tree density.