Question

The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 birdhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?

Answer 1

24 birdhouses

Explanation:

This is a proportional relationship. y = kx, where k is the constant of proportionality. We can determine k as follows:

4 birdhouses = k(1 1/2 hours), which leads to:

4 birdhouses

------------------------- = 8/3 birdhouses/hr

3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses: 24 birdhouses

Answer 2

24

Explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27