Question

coach smith kept track of the jumping records for the basketball team for a 10-year period. draw a line graph for the data.

year	record in inches
2016	76
2017	74
2018	74
2019	70
2020	69
2021	69
2022	68
2023	65
2024	63

which line graph accurately represents the data in the table?
options: a, b, c, d (with corresponding line graphs)

Explanation:

Step1: Analyze 2015 data

2015 record is 77 inches. Check graphs: A starts near 80, B near 60, C near 80, D near 60. So B and D out for 2015.

Step2: Analyze 2016 data

2016 is 76 inches (slight drop from 77). A and C: A's 2016 point is lower than 77, C's too? Wait, 2015: A's first point ~80, 2016 ~78? No, table 2015:77, 2016:76, 2017:74, 2018:74, 2019:70, 2020:69, 2021:69, 2022:68, 2023:65, 2024:63. So trend: 77→76→74→74→70→69→69→68→65→63. So initial points (2015 - 2018) should be 77,76,74,74. Graph A: first point ~80 (close to 77), then 78,76,76? No. Wait graph A's y-axis: 50,60,70,80,90,100. So 77 is near 80. 2016:76 (near 80 -1), 2017:74 (80 -6), 2018:74 (same as 2017). Then 2019:70 (80 -10), 2020:69, 2021:69, 2022:68, 2023:65, 2024:63. Graph A's line: starts ~80 (2015), then decreases, has a drop around 2021 -2024? Wait no, the table's 2019 is 70, which is a big drop from 74 (2018). Then 2020:69 (small drop), 2021:69 (flat), 2022:68 (drop), 2023:65 (bigger drop), 2024:63 (drop). Graph A: after 2018, the line drops to ~60? Wait no, 2019 is 70, so y=70 is on the graph (70 line). So graph A: 2015: ~80 (77), 2016: ~78 (76), 2017: ~76 (74), 2018: ~76 (74)? No, 2017 and 2018 should be 74. Wait maybe I misread. Wait graph A: x-axis years 2015,2018,2021,2024? No, x-axis labels: 2015,2018,2021,2024, but data is yearly. Wait maybe the graphs have points for each year (2015 -2024). Let's check graph A: the blue line starts at 2015 (x=2015) with y~80 (77), then each year (x increases) y decreases, with a sharp drop around 2021 -2024? No, table 2019 is 70, which is a drop from 74 (2018). So 2018 to 2019: 74→70 (drop of 4). Then 2019→2020:70→69 (drop 1), 2020→2021:69→69 (flat), 2021→2022:69→68 (drop 1), 2022→2023:68→65 (drop 3), 2023→2024:65→63 (drop 2). Graph A: after 2018, the line drops to ~60? No, 2019 is 70, so y=70 is on the graph (70 line). So graph A's 2019 point should be at y=70. Let's check graph C: 2015: y~80 (77), 2016: ~78 (76), 2017: ~76 (74), 2018: ~76 (74), 2019: ~72 (70)? No. Wait graph A: the first part (2015 -2018) has a smooth decrease then flat at 74, then drops to 70, then continues decreasing. Graph C: starts at 80, then drops to 60? No. Wait the key: 2015:77, 2016:76, 2017:74, 2018:74 (so 2017 and 2018 same). Then 2019:70 (big drop from 74), 2020:69, 2021:69 (flat), 2022:68, 2023:65, 2024:63. Graph A: 2015: ~80, 2016: ~78, 2017: ~76, 2018: ~76 (no, 2017 and 2018 should be 74). Wait maybe I messed up. Wait graph A's y-axis: 50,60,70,80,90,100. So 70 is a grid line. 2019:70, so point at y=70. 2015:77 is between 70 and 80, closer to 80. So graph A: 2015: ~80, 2016: ~78, 2017: ~76, 2018: ~76, 2019: ~70 (drop), 2020: ~69, 2021: ~69, 2022: ~68, 2023: ~65, 2024: ~63. This matches the table's trend. Graph C: 2015: ~80, but then 2016: ~75? No, table 2016 is 76 (close to 77). Graph D: zig-zag, which doesn't match the mostly decreasing trend (with flat at 74, 69). So graph A is correct.

Answer:

A