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natima [27]
3 years ago
9

A 28,000-gallon swimming pool is being drained using a pump that empties 700 gallons per hour. Which equation models this situat

ion if g is the number of gallons remaining in the pool and t is the amount of time in hours the pool has been draining?
Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

the answer is D

g = 28,000 – 700t

Reika [66]3 years ago
5 0
You can start by making a table that will permit you visualize the model. Start with 28,000 and subtract 700 hundreed step by step, in this way: 1) 28,000 - 700; 2) 28,000 - 2(700); 3) 28,000 - 3(700) ... then you can observe that after t hours the remaining number of gallos in the pool is 28,000 - 700t. So, the equation that models this situation is g(t) = 28,000 - 700t.
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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

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The equation will be:

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Plug (10, 14) in the equation to find the value of c

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5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


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