A 450-gallon tank full of water is draining at a rate of 20 gallons per minute. a. How many gallons will be in the tank after 7 minutes?
b. How long will it take for the tank to have 200 gallons?
c. Write an equation that represents the relationship between the gallons of water in the tank and minutes the tank has been draining.
d. Graph your equation using graphing technology. Mark the points on the graph that represent the gallons after 7 minutes and the time when the tank has 200 gallons. Write down the coordinates.
e. How long will it take until the tank is empty?

The equation that demonstrates the relationship between the gallons of water in the tank and minutes the tank has been draining is 450 - 20X = Gallons drained. After 7 minutes there will be 310 gallons of water in the tank. It will take 12.5 minutes for the tank to have 200 gallons. It will take 22.5 minutes until the tank is empty.

Since a 450-gallon tank full of water is draining at a rate of 20 gallons per minute, to determine how many gallons will be in the tank after 7 minutes; how long will it take for the tank to have 200 gallons; the relationship between the gallons of water in the tank and minutes the tank has been draining; and how long will it take until the tank is empty, the following calculations must be performed:

The equation that demonstrates the relationship between the gallons of water in the tank and minutes the tank has been draining is 450 - 20X = Gallons drained

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The answer is below

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:

a) This can be represented by the equation:

y = 450 -  20x

At 7 minutes (x = 7)

y = 450 - 20(7)

y = 310 gallons

b) For 200 gallons (y = 200), the time taken is:

200 = 450 - 20x

200 - 450 = -20x

-20x = -250

x = -250/-20

x = 12.5 minutes

c) y = 450 - 20x

d) The graph was plotted using geogebra onling graphing calculator.

e) When the tank is empty, y = 0, hence

0 = 450 - 20x

20x = 450

x = 450 / 20

x = 22.5 minutes

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

6e14 is the answer.