She does sit-ups.The table shows how long it takes her to do different numbers of sit-ups.

# of Sit-Ups | 10. | 30. |. 50. |. 200 |
Minutes. |. 2. |. 6. |. 10. |. 40 |
How long do you predict it will take her to do 120 sit-ups?

22 minutes

To predict how long it will take her to do 120 sit-ups, you can use the given data to find a pattern or relationship between the number of sit-ups and the corresponding time it takes. In this case, we can assume that the relationship is linear, meaning the time taken is directly proportional to the number of sit-ups.


To determine the relationship between the number of sit-ups and the corresponding time, we can calculate the rate at which the time increases for each additional 20 sit-ups. Let's calculate the rate for the given data:

For the first 20 sit-ups: The time increases from 2 minutes to 6 minutes, a difference of 4 minutes.
For the next 20 sit-ups: The time increases from 6 minutes to 10 minutes, a difference of 4 minutes.
For the last 150 sit-ups: The time increases from 10 minutes to 40 minutes, a difference of 30 minutes.

Now we can find the rate by dividing the difference in time by the change in the number of sit-ups:

For the first 20 sit-ups: The rate is 4 minutes / 20 sit-ups = 0.2 minutes/sit-up.
For the next 20 sit-ups: The rate is 4 minutes / 20 sit-ups = 0.2 minutes/sit-up.
For the last 150 sit-ups: The rate is 30 minutes / 150 sit-ups = 0.2 minutes/sit-up.

As we can see, the rate of increase is constant at 0.2 minutes/sit-up.

Now, to predict how long it will take her to do 120 sit-ups, we can use the rate to calculate the time.
To do this, we can multiply the change in the number of sit-ups (120-50 = 70) by the rate (0.2 minutes/sit-up).

The predicted time for 120 sit-ups = 70 sit-ups * 0.2 minutes/sit-up = 14 minutes.

Therefore, it is predicted that it will take her 14 minutes to do 120 sit-ups.