Mathematics, 05.04.2021 05:40 dondre54

7. A bucket is empty. You are filling the bucket with water at a rate of 3 inches per second.
a. Plot the points (0,0) and (5, 15).
b. What do the points in part (a) represent?
c. Draw a line through the points.
d. What does the line represent?
e. Write an equation of the line.

Answers: 2

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Answers

Answer from: Esan1478

a. Please find attached the plot of the points (0, 0) and (5, 15)

b. The point (0, 0) represents the start point

The point (5, 15) represents the point in the relationship between the water level and the change in time after 5 seconds

c. Please find attached the graph showing the Linear Trendline drawn between the points (0, 0) and (5, 15)

d. The line represents the possible combination time and water level during filling the bucket

e. The equation of the line is y = 3·x

Step-by-step explanation:

The rate at which the empty bucket is filled = 3 inches per second

a. Please find attached the plot made with Microsoft Excel of the points (0, 0) and (5, 15)

b. The points in part (a) (0, 0) and (5, 15) represent the following stages;

1) The point (0, 0) represents the point where the bucket is initially empty before filling the bucket with water

2) The point (5, 15) represents the 5 seconds of filling the bucket with water to a level of 15 inches

c) Please find attached the plot of the points with a Linear Trendline drawn between the points created with Microsoft Excel

d. The straight line drawn from point (5, 15) and passing through the origin at (0, 0) represents the proportional relationship between the water level in the bucket and the amount of time used in filling the bucket

e. The equation of the line is the equation of a proportional relationship which can be expressed in the following form;

y = kx

k = y/x

At the point (5, 15), we have;

y = 15, and x = 5

∴ k = 15/5 = 3 = The rate at which the bucket is filled with water

k = 3

Therefore, we have;

y/x = k = 3

∴ y/x = 3

y = 3 × x = 3·x

The equation of the line is therefore;

y = 3·x

7. A bucket is empty. You are filling the bucket with water at a rate of

3 inches per second.
a. Pl

Answer from: Quest

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

Answer from: Quest

1. 5/82.95% is better than 7/8

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7. A bucket is empty. You are filling the bucket with water at a rate of 3 inches per second.
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