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tatuchka [14]
3 years ago
11

The speed of an elevator varies inversely with the weight it carries. If the elevator rises at 10 feet per second when it carrie

s 400lbs, how fast will it rise when it carries 500lbs?

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

8\frac{ft}{sec}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Let

x-----> the speed of the elevator

y----> the weight it carries

so

y*x=k

<em>Find the constant k</em>

For x=10 ft/sec, y=400 lb

substitute

k=10*400=4,000

The equation is

y*x=4,000

Find the speed for y=500 lb

substitute in the equation

500*x=4,000

x=4,000/500=8\frac{ft}{sec}

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is negative, the maximum value of the function is

f

(

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2

a

)

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a

is positive, the minimum value of the function is

f

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b

2

a

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a

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+

c

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x

=

−

b

2

a

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x

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b

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a

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2

a

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