Question

2. Given the table for x, time in minutes and y, distance traveled:

x - time 4 3 10 7 9
y - distance 76 57 190 133 171


(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every minute meters are traveled.

b. Write an equation to show the relationship between x and y. Response area

c. This relationship is Response area because the y-intercept is

Answer 1

there isnt a linear answer

Answer 2

is it proportional or non proportional

Answer 3

a. Every minute 19 meters are traveled.
b. Write an equation to show the relationship between x and y: y = 19x.
c. This relationship is linear because the y-intercept is 0.

Answer 4

Apologies for the confusion. Let's find the equation:

To determine the relationship between x and y, we can use the given data points (x, y) = (4, 76), (3, 57), (10, 190), (7, 133), (9, 171).

Using these data points, we observe that as x increases, y also increases. This suggests a positive linear relationship between x and y.

We can find the equation of the line using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope (m), we can use any two points, (x1, y1) and (x2, y2), and apply the formula:

m = (y2 - y1) / (x2 - x1)

Let's use the points (4, 76) and (9, 171):

m = (171 - 76) / (9 - 4)
m = 95 / 5
m = 19

Now we have the slope, m = 19.

To find the y-intercept, we can substitute the slope and any point (x, y) into the slope-intercept form and solve for b.

Let's use the point (4, 76):

76 = 19(4) + b
76 = 76 + b
b = 76 - 76
b = 0

Therefore, the equation that shows the relationship between x and y is:

y = 19x + 0
y = 19x

This relationship is linear because the equation represents a straight line with a constant slope of 19.

Answer 5

Apologies for the confusion.

The relationship between x and y is proportional because the equation y = 19x represents a direct variation. In a direct variation, as one variable (x) increases or decreases, the other variable (y) also increases or decreases in a consistent ratio. In this case, the ratio is 19, indicating that for every unit increase in x, y increases by 19 units.