Question

it takes a 160 work days to build a house. this means that one person could build the house and 160 days but two people could build it the house and 80 days. create a table to figure out a relationship between the number of people working and days to completion.

Answer 1

days = $\frac{160}{n}$ → n is number of people

1 person → 160 days

2 people → 80 days → $\frac{160}{2}$

4 people → 40 days → $\frac{160}{4}$

8 people → 20 days → $\frac{160}{8}$

Note that as the number of people increases the number of days decreases

let n be the number of people, then

days = $\frac{160}{n}$