Let's go through your questions one by one:
Question 17: Troy burns four calories per minute. We can express this relationship as: \( y = 4x \) where \( y \) is the total calories burned and \( x \) is the time in minutes. So the correct answer is y = 4x.
Question 18: To determine if the table is proportional, we need to check if the ratios \( \frac{y}{x} \) are constant.
x: 8, 10, 12, 14 y: 18, 20, 22, 24 Calculating the ratios:
- When x = 8, \( \frac{18}{8} = 2.25 \)
- When x = 10, \( \frac{20}{10} = 2 \)
- When x = 12, \( \frac{22}{12} \approx 1.833 \)
- When x = 14, \( \frac{24}{14} \approx 1.714 \)
Since the ratios are not constant, the relationship is Non-proportional.
Question 19: You have x values: -5, 0, 5, 10. To find the slope, we need two points. Let's use the points (0, y1) and (5, y2) to find the slope. Without y-values provided, we can't compute this accurately.
If we had y-values, we would use the slope formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Given the lack of context, I can't make a definite choice here. Please provide y-values or specify which pairs to consider.
Question 20: Using the points (7, 3) and (6, -2): \[ \text{slope} = \frac{-2 - 3}{6 - 7} = \frac{-5}{-1} = 5 \] So the answer is Slope = 5.
Question 21: To find the slope with the points (-9, -5) and (9, 1) (using the first and last x-values): \[ \text{slope} = \frac{1 - (-5)}{9 - (-9)} = \frac{6}{18} = \frac{1}{3} \] So the answer is Slope = 1/3.
Question 23: Using the points (12, 7) and (5, 9): \[ \text{slope} = \frac{9 - 7}{5 - 12} = \frac{2}{-7} = -\frac{2}{7} \] So the answer is Slope = -2/7.
If you have any more questions or need further explanations, feel free to ask!