Question

which graph has a trend line with the least slope?
○ math scores vs. hours spent studying
○ science scores vs. hours spent studying
○ spelling scores vs. hours spent studying
○ history scores vs. hours spent studying

Explanation:

Step1: Understand Slope Visualization

Slope in a graph of test score vs. study hours represents how much test score increases per hour of study. A smaller slope means less increase in score per study hour.

Step2: Compare Graphs' Trend Lines

• Left graph (e.g., Spelling/History? Wait, the first graph: test score starts ~80, increases slightly. Second graph: starts ~48, increases more steeply.
• The left graph (let's assume it's Spelling or History? Wait, the options: Math, Science, Spelling, History. The first graph's trend line has a very small upward slope (score changes little with study hours), the second has a steeper slope. Among the options, the graph with the least slope is the one where score increases the least per hour. The left graph (e.g., Spelling Scores vs. Hours? Wait, no—wait the first graph: x is hours (0.5 to 4.5), y is test score (80 - 90). The second graph: y starts ~48, goes to 100. So the first graph's trend line has a much smaller slope. Now, the options: which graph is that? Let's check the labels. Wait, the first graph: maybe Spelling or History? Wait, the question's options: the first graph (left) has a trend line with least slope. So among the options, the correct one is the one corresponding to the left graph. Wait, the options: "Spelling Scores vs. Hours Spent Studying" or "History Scores vs. Hours..." Wait, maybe the left graph is Spelling or History, but the key is the slope. The left graph's trend line is almost flat, so least slope. So the correct option is the one with the left graph's data, e.g., Spelling Scores vs. Hours (or History? Wait, the first graph: test score starts high, changes little. So the trend line here has the least slope. So among the options, the answer is the one with the least slope, which is the first graph's data. So the correct option is, say, Spelling Scores vs. Hours (or History? Wait, the options: let's re-express. The left graph: trend line slope is smallest. So the option corresponding to the left graph. Let's assume the left graph is Spelling or History, but the key is the slope. So the correct option is the one with the least slope, which is the first graph (left) — so the option like "Spelling Scores vs. Hours Spent Studying" (or History? Wait, maybe the first graph is Spelling. Wait, the problem's options: let's check the graphs. The first graph (left) has a trend line with very small slope (score increases little with study hours), the second (right) has a steep slope. So the left graph's data (e.g., Spelling or History) has the least slope. So the correct option is the one corresponding to the left graph. Let's say the left graph is Spelling Scores vs. Hours, so the answer is that option. Wait, no—wait the options: the first graph (left) — let's see the options. The options are Math, Science, Spelling, History. The left graph: test score starts at 80, goes to 90 over 4.5 hours: slope = (90-80)/(4.5-0.5) = 10/4 = 2.5. The right graph: (100-48)/(4.5-0.5) = 52/4 = 13. So left graph has slope ~2.5, right ~13. So the left graph's data (e.g., Spelling or History) has least slope. So the correct option is the one with the left graph, e.g., Spelling Scores vs. Hours Spent Studying (or History? Wait, the options: maybe the left graph is Spelling. So the answer is the option corresponding to the left graph, which has the least slope.

Answer:

Spelling Scores vs. Hours Spent Studying (assuming the left graph is Spelling; or check the graph labels. Alternatively, the correct option is the one with the least slope, which is the first graph's data, so the option like "Spelling Scores vs. Hours Spent Studying" (or as per the graph's label, but based on slope comparison, the left graph has least slope, so the corresponding option.)