Question

Listen
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)

Listen
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)
Listen
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)

Listen
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)

Listen
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)

Listen
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

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

Answer 2

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 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!