in-23-28-write-an-equation-of-the-direct-variation-described-water-is-flowing-into-a-swimming-pool-a

Question

In $23-28,$ write an equation of the direct variation described. 
Water is flowing into a swimming pool at the rate of 25 gallons per minute. The number of gallons of water in the pool, $g,$ is directly proportional to the number of minutes, $m,$ that the pool has been filling from when it was empty.

Yemi Uthman · Accepted Answer

we can approach. This problem is writing out what each variable stands for. So we know G is the amount of gallons of water in the pool at a given time. An M is the minutes the water has been pouring in. So using our direct variation equation, we know we can replace, uh, why, with g equals k times m. So in this case, we know that it water has been flowing for 25 minutes. So okay, here will just be 25 g equals 25 m will be our final equation.

Emma Chickles · Answer

and this problem we&#x27;re asked to describe the distance in Miles de Aza direct variation with time and ours t were given of the travel. Speed is 35 miles per hour. We can rewrite miles per hour as miles divided by hours. This is also equal to D over tea And this problem We&#x27;re given that dear pretty issue called 2 35 Now we can rearrange this equation for deep by multiplying both sides of the equation by t to get D&#x27;s equal to 35 times tea there were our direct variation can be rewritten as these equals a 35 t.

Emma Chickles · Answer

and this problem where first hold to describe the number of gallons of water in a pool G as a function of the number of minutes past 9 a.m. t. Were also given that the pool initially contains 80 gallons of water. We can rewrite this as a function value G, when tea&#x27;s equal to zero is 80. We&#x27;re also told that casino and water at 25 gallons per minute until 4 p.m. We can rewrite gallons per minute as G over tea, and we&#x27;re told that this is equal to 25. We can rewrite this equation by multiplying both sides. Right, See, to get jeez equals a 25 times tea. But no, we&#x27;ll need to add a constant in order for these two requirements. Toe hold True. So our function G A. T is equal to 25 t plus 80 once he is equal to zero. Jay Z was 80 and the ratio between these two variables is 25. So both of these requirements are true Now we need to find the domain of dysfunction. Kristina starts adding water, and nine am, which is also in T, is equal to zero and she finishes adding water at 4 p.m. which is seven hours past 90 or 420 minutes now to find the range. This is on increasing function because the slope is positive, it is 25. So the lower limit at this range is one T is equal to zero, which is when number of gallons sequel to 80. And to find the ever limit. We can substitute the highest value of tea, which is born to 20 into our functions, to get 25 times for injured 20 plus 80 and this value is equal to 10,580. Now Ask to determine if this function is 1 to 1. This is a linear function because the ratio between these two variables is constant, it&#x27;s 25 and all of your functions are 1 to 1. This is also a direct variation because it is a linear function that it&#x27;s 1 to 1

Yemi Uthman · Answer

for this question, we&#x27;re gonna list out what each variable stands for first. So we have that. I It&#x27;s just gonna be the length of each line segment in inches and F will be the length of the same line segments and feet. So what we know is that 1 ft equals 12 inches. Therefore, from a direct variation equation looking extinction is of variable. So have why I equals K f Enter and K here week will 12 Because that&#x27;s the ratio between the feet and inches star from locational be I equals 12 F.

Emma Chickles · Answer

and this problem. We&#x27;re asked to describe the way of the package and grams G as directly proportional to the way to the package and kilograms. We know that there are 1000 grams in a kilogram so we can write this as one kilogram is equal to 1000 grams where G is equal to the weight of package in grams and K is equal to the way of package in kilograms so we can write this function as K is equal to 1000 g.

Brandi Roebuck · Answer

Hello. Welcome to another numerator tutorial. We&#x27;re looking at a direct variation problem here, and we&#x27;re not actually given. We&#x27;re not given the information flight out, but we do have a diagram to help us understand what&#x27;s going on. So pressure is directly correlated to the depth at which you&#x27;re swimming. So what we can do is use the direct inversion equation, which is why equals K X. And in this case, I&#x27;m going to say that why will be the the PS I that I&#x27;m experiencing based on my depth. So according to the illustrations 4.31 p. S, I is equal to our constant, which we don&#x27;t know yet Times 10. So now what I want to do is solve for my constant. In order to do that, I&#x27;m going to divide both sides by 10. There we go. I&#x27;ve divided both sides by 10 and I have 0.43 equals K. So my constant is point for three ps I per one foot of depth. Okay. Now, you to turn this information into a NOL purpose equation that we can use to solve for depth or P s I I&#x27;m going to I&#x27;m gonna use Kay and let P represent the pressure. And the pressure is directly proportional to my depth. And I know that for every x unit for every X feet I am down in the water. I will experience point for three p s. I. So I&#x27;m gonna actually, I want to use, uh I&#x27;m gonna use a h right here. So here&#x27;s our final equation. P is equal to 4.3 h. The pressure is he got a 4.3 p s i times H, which is the height of the water above you. Alright, mentioned and feet. All right, folks. Thank you.

Problem

In $23-28,$ write an equation of the direct varia…

Problem 27 Medium Difficulty

In $23-28,$ write an equation of the direct variation described.
Water is flowing into a swimming pool at the rate of 25 gallons per minute. The number of gallons of water in the pool, $g,$ is directly proportional to the number of minutes, $m,$ that the pool has been filling from when it was empty.

Answer

$g=25 m,$ where $g$ is in gallons and $m$ is the number of minutes.

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$g=25 m,$ where $g$ is in gallons and $m$ is the number of minutes.

Algebra 2 and Trigonometry

Grace H.

Kayleah T.

Maria G.

Kristen K.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Kayleah T.

Maria G.

Kristen K.

Ann Xavier Gantert

Algebra 2 and Trigonometry