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At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak. After 6 hours there were only 5,000 gallons of water remaining in his pool. Write an equation that describes the number of gallons of water as a function of the time the pool has been leaking.


y = -5,000x + 14,000

y = -1,500x + 14,000

y = -9,000x + 14,000


Is it possible for a vertical line to have a negative slope?

no

yes

Respuesta :

anaiawilliamson

Answer: -5000x + 14,000 = 9000  and yes

Step-by-step explanation:

The equation is y = - 1500x + 14000, then the option B is correct. And yes, the slope of the line is negative.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more variables.

At 7:00 AM there were 14,000 gallons of water in Lance’s pool when he noticed there was a leak.

After 6 hours there were only 5,000 gallons of water remaining in his pool.

Let y be the amount of water in the pool and x be the time.

Then the coordinate will be (0, 14000) and (6, 5000)

We know that the equation of a line is given as

[tex]\rm y - y_1 = \dfrac{y_2 - y_1}{x _2 - x_1} \times (x -x_1)[/tex]

Then we have

[tex]\rm y - 14000 = \dfrac{5000 - 14000}{6 - 0} (x - 0)\\\\y = -1500x + 14000[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

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