Enter your answer and show all the steps that you use to solve this problem in the space provided.
Day 1 Day 2 Day 3 Day 4 Day 5
17 21 25 29 33
The table shows how the number of sit-ups Marla does each day has changed over time. At this rate, how many sit-ups will she do on Day 12? Explain your steps in solving this problem.
To solve this problem, we first need to find the pattern in the data to determine how the number of sit-ups Marla does each day is changing.
From the data given, we can see that the number of sit-ups Marla does each day is increasing by 4 each day. This means that there is a constant rate of increase of 4 sit-ups per day.
Now, we can calculate how many sit-ups Marla will do on Day 12 by continuing the pattern. Since she does 33 sit-ups on Day 5, we can use the formula:
Sit-ups on Day 12 = (starting number of sit-ups) + (rate of increase * number of days)
Sit-ups on Day 12 = 33 + (4 * 7)
Sit-ups on Day 12 = 33 + 28
Sit-ups on Day 12 = 61
Therefore, Marla will do 61 sit-ups on Day 12.