The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated byp = 64 − 0.01s2.Find the value(s) of s that will make p = 0.

The value of s that will make p = 0 is 80.

Step-by-step explanation:

The equation used to describe the relationship between amount of airborne particulate pollution from a power plant and wind speed is:

Compute the value(s) of s for which the value of p = 0 as follows:

Since wind cannot travel in negative speed, the value of s is 80.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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