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Question

Troy burns four calories per minute while walking his dog. Write and equation to represent this proportional relationship.

Question 17 options:

y = -4x

y = 1/4x


y = 4x

Non-proportional

Question 18 (1 point)

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Is the table proportional or non-proportional?
x:8,10,12,14
y=18,20,22,24
Question 18 options:

Proportional

Non-proportional

Question 19 (1 point)
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Find the slope of the line that passes through the points given in the table.
x=-5,0,5,10

Question 19 options:

Slope = -5/3
Slope = -3/5
Slope = 5/3
Slope = 3/5
Question 20 (1 point)

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Find the slope of the line between the two points.

(7, 3) and (6, -2)

Question 20 options:

Slope = -1/5
Slope = 5
Slope = -5
Slope = 1/5

Question 21 (1 point)

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Find the slope of the line that passes through the points given in the table.
x:-9,-3,0,9
y:-5,-3,-2,1
Question 21 options:
Slope = -1/3
Slope = 1/3
Slope = 3
Slope = -3

Question 23 (1 point)

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Find the slope of the line between the two points.
(12, 7) and (5, 9)
Question 23 options:
Slope = -7/2
Slope = 7/2
Slope =-2/7
Slope = 2/7

Answer 1

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!

Answer 2

sorry for the question number 19 the y=4,1,-2,-5

Answer 3

No problem! Now that we have the y-values for Question 19, let's clarify the points.

The points based on the provided x-values and y-values are:

• (-5, 4)
• (0, 1)
• (5, -2)
• (10, -5)

To find the slope, we typically use two points. Let's use the first two points (-5, 4) and (0, 1):

Using the slope formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

Where:

• \( (x_1, y_1) = (-5, 4) \)
• \( (x_2, y_2) = (0, 1) \)

Substituting in the values: \[ \text{slope} = \frac{1 - 4}{0 - (-5)} = \frac{-3}{5} \]

So the slope of the line that passes through the first two points is Slope = -3/5.

Now let's summarize the answers for all your questions:

• Question 17: y = 4x
• Question 18: Non-proportional
• Question 19: Slope = -3/5
• Question 20: Slope = 5
• Question 21: Slope = 1/3
• Question 23: Slope = -2/7

If you have any more questions or need further clarification, feel free to ask!