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Semmy [17]
3 years ago
13

Carson is draining his swimming pool so he can clean it. The water level started at 12 feet and decreased 6 inches every hour. W

hich equation provides the water level of the swimming poolo(in feet) as a function of time (in hours)? y=1/2x-12, y=-6x+12, y=-1/2x+12, y=6x-12
Mathematics
1 answer:
ra1l [238]3 years ago
3 0

9514 1404 393

Answer:

  (c)  y=-1/2x+12

Step-by-step explanation:

The units of the problem need to be consistent. Here, it is convenient to use feet. 6 inches is 1/2 foot, so the level will decrease 1/2 ft for each hour. It starts at +12 ft, and goes down from there:

  y = -1/2x +12

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A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati
Nuetrik [128]
<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

<h2>27x + 50 = y</h2>

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

<h2>y = 266</h2>

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

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Which fraction is not equivalent to 30/48 ?
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