Please help! It says- A machine takes 4.0 hours to make 8 parts. At that rate, how many parts can the machine make in 31.0 hours? Anybody want to explain it to me?

One way to solve this is with a proportion.

8/4 = x/31

Cross multiply and solve for x.

4x = 248

x = 248/4

x = 62 parts

Thank you Ms. Sue! I appreciate it!

You're welcome, Lizzy.

Sure! I'd be happy to help explain how to solve the problem.

To find out how many parts the machine can make in 31.0 hours, we need to use the information given about the machine's production rate.

We are told that the machine takes 4.0 hours to make 8 parts. This means it produces 8 parts in 4.0 hours, or 8 parts divided by 4.0 hours, which equals 2 parts per hour.

Now, we can use this production rate to calculate how many parts the machine can make in 31.0 hours. Since we know the machine produces 2 parts per hour, we can simply multiply the production rate (2 parts per hour) by the number of hours (31.0) to get the total number of parts.

Let's do the math:

2 parts per hour × 31.0 hours = 62 parts

Therefore, the machine can make 62 parts in 31.0 hours.

Remember, to solve this problem, you need to know the machine's production rate (in this case, it's 2 parts per hour) and multiply it by the number of hours (31.0).