Question

Tom is clearing brush from a large piece of land. The table shows how many acres he cleared over time

Answer 1

3 days. He is clearing 1/3 of an acre per day.

Explanation:

Answer 2

Tom takes 1 day to clear 1 acre.

To find out how many days it takes Tom to clear 1 acre, we can calculate the rate at which he clears brush in acres per day.

Let's use the given information:

`(2)/(3)`​ acre cleared in 2 days,

​
`1(2)/(3)` acres cleared in 5 days,

`2 (1)/(3)` acres cleared in 7 days.

First, let's find the rate in acres per day for each interval:

For the first interval:

​
`((2)/(3) )/(2) = (1)/(3)` acre per day.

For the second interval:

`(1(2)/(3) )/(5) = (5)/(3) * (1)/(5) = (1)/(3)` acre per day.

For the third interval:

`(2(1)/(3) )/(7) = (7)/(3) * (1)/(7) = (1)/(3)` acre per day.

It appears that the rate at which Tom is clearing brush is consistent at

`(1)/(3)` acre per day.

Therefore, Tom takes 1 day to clear 1 acre.