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densk [106]
3 years ago
15

 10  points for this                                                                                                            

                                   Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
What is the range of this function?
I need urgent help!!!

Mathematics
2 answers:
kow [346]3 years ago
3 0
<span>The range would be all real numbers such that 0 ≤ y ≤ 40.

hope this helps!</span>
astra-53 [7]3 years ago
3 0

Answer:

all real numbers such that 0≤y≤40

Step-by-step explanation:

We are given that Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute.

So, rate of draining of water gallons per minute = -1.5

The amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

At 0 minutes the amount of water is 40 gallons.

So,the highest volume of water is 40 .

The given function is linear

And decreasing at the rate of 1.5 gallons per minute

y = 0

Since volume of water can be 0 but cannot be negative.

So, range of y is all real numbers such that 0≤y≤40

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A country will produce 3000 missiles this year. Each of the short-range missiles cost $200000 to produce. Each of the medium-ran
Lynna [10]

Answer:

$350,000

Step-by-step explanation:

Let's define:

  • s: amount of short-range missiles produced
  • m: amount of medium-range missiles produced
  • l: amount of long-range missiles produced

From the total production and the ratios we can write the following equations:

s + m + l = 3000

s/m = 3/3 = 1 = m/s

s/l = 3/4 or l/s = 4/3

Dividing the first equation by s, we get:

s/s + m/s + l/s = 3000/s

1 + 1 + 4/3 = 3000/s

10/3 = 3000/s

s = 3000*3/10 = 900

m = 900

l =  4/3*900 = 1200

From the money that the countries plans to use and each missile cost, we can write the following equation:

200,000*s + 300,000*m + cost*l = 870,000,000

Replacing with previous result:

200,000*900 + 300,000*900 + cost*1200 = 870,000,000

cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000

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