Final answer:
By multiplying the rate of production (3 bottles per minute) by the number of minutes, we find that in 75 minutes, 225 bottles can be made, and in 6 minutes, 18 bottles can be produced.
Step-by-step explanation:
If a machine can make bottles at a rate of 3 bottles per minute, we can calculate how many bottles it can make in any given number of minutes by multiplying the rate (3 bottles/minute) by the number of minutes.
- To find out how many bottles can be made in 75 minutes: 3 bottles/minute × 75 minutes = 225 bottles.
- To determine how many bottles can be made in 6 minutes: 3 bottles/minute × 6 minutes = 18 bottles.
The calculations show that the machine can produce 225 bottles in 75 minutes, and 18 bottles in 6 minutes.