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 determine how many sit-ups Marla will do on Day 12, we first need to identify the pattern in the numbers.
Looking at the data, we see that the number of sit-ups is increasing by 4 each day. This means that the sit-ups are increasing by 4 in an arithmetic sequence.
To extend this pattern to Day 12, we need to calculate the difference between Day 1 and Day 12. Day 12 is 11 days after Day 1, so we multiply the difference in days by the rate of increase in sit-ups per day: 11 days * 4 sit-ups/day = 44 sit-ups.
To find the number of sit-ups Marla will do on Day 12, we add 44 sit-ups to the number of sit-ups she did on Day 1 (17 sit-ups): 17 sit-ups + 44 sit-ups = 61 sit-ups.
Therefore, Marla will do 61 sit-ups on Day 12.