Question

directions: select the correct location on the graph. a life science class grew a culture of fruit flies in a small container. they recorded the number of flies each week for 10 weeks. the graph below displays their data. predict the most likely number of fruit flies that will be in the container at week 11 by selecting the correct red circle on the graph. the graph is titled number of fruit flies vs. time with time (weeks) on the x - axis (ranging from 0 to 12) and number of flies on the y - axis (ranging from 0 to 150), showing a green line of data points and red circles on week 11.

Explanation:

Step1: Analyze the graph's pattern

The graph of fruit flies over time (weeks) shows a cycle: after an initial growth, it oscillates. From week 4 to 5, 5 to 6, 6 to 7, 7 to 8, 8 to 9, 9 to 10, the pattern of peaks and troughs repeats. At week 10, the number of flies is at a trough (around 80? Wait, no, looking at the x - axis week 10: the green line at week 10 is at the bottom, then week 11 should follow the cycle. Wait, actually, looking at the cycles: from week 3 (peak) to week 4 (trough), week 4 to week 5 (peak), week 5 to week 6 (trough), week 6 to week 7 (peak), week 7 to week 8 (trough), week 8 to week 9 (peak), week 9 to week 10 (trough). So the cycle is peak - trough - peak - trough... with a period. So after week 10 (trough), week 11 should be a peak, similar to week 5, 7, 9. The peaks at week 5,7,9 are around 120? Wait, no, the green line at week 5: y - axis around 120, week 7: around 120, week 9: around 120. The troughs at week 4,6,8,10: around 80. So week 11, following the cycle (trough at 10, peak at 11), should be at the peak level, same as week 5,7,9. Looking at the red circles on week 11, the one that aligns with the peak (around 120) is the correct one. Wait, but the red circles are vertical on week 11. The y - axis grid: each line is 10 units (0,10,20,...,150). The peak at week 5: between 110 - 120? Wait, the y - axis labels: 0,10,20,30,40,50,60,70,80,90,100,110,120,130,140,150. So the peak at week 3 is around 130 - 140, then week 5: around 120, week 7: around 120, week 9: around 120. The troughs at week 4: 80, week 6:80, week 8:80, week 10:80. So the cycle after week 10 (trough at 80) should go up to a peak at week 11, similar to week 5,7,9 (around 120). So on the red circles for week 11, the one at y = 120 (or the grid line corresponding to the peak) is the correct one.

Step2: Identify the correct point

Looking at the red circles on week 11 (x = 11), the circle that is at the same y - level as the peaks at week 5,7,9 (around 120) is the correct prediction. From the graph, the peak values (week 5,7,9) are at the y - coordinate of 120 (since between 110 and 130, and the graph's peaks at those weeks are at the 120 - mark? Wait, the green line at week 5: the top of the curve is at the grid line between 110 and 130, which is 120. So week 11 should be at that same y - value. So the red circle at week 11 with y - coordinate 120 (or the one that matches the peak pattern) is the answer.

Answer:

The correct red circle on the graph for week 11 is the one at the y - coordinate corresponding to the peak of the cycle (around 120, matching the peaks at weeks 5, 7, 9). Visually, on the vertical line of week 11, select the red circle that aligns with the peak values of the previous cycles (e.g., the one at the same height as the peaks at week 5, 7, 9).