Question

3.) A glass of water is being filled up slowly. It initially starts out with 4

ounces of water and fills at a constant rate of 3/2 ounces per minute. How
long will it take to fill the glass if it can hold 16 ounces?
8 minutes
12 minutes
24 minutes
18 minutes

Answer 1

8 minutes

Explanation:

The amount in the glass after m minutes can be described by ...

a = 4 + 3/2m

We want to find m when a=16, so ...

16 = 4 + 3/2m

12 = 3/2m . . . . . subtract 4

8 = m . . . . . . . . . multiply by 2/3

It will take 8 minutes to fill the glass.