For a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. at a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in.3. which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi?

we know that

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

Let

x-------> the pressure in PSI

y------> the volume of the gas in cubic inches

In this problem we have the point

so

Find the constant k

substitute the values of x and y

the equation is

therefore

the answer is

Step-by-step explanation:

Let the volume of gas be y

Let the pressure be x

Since we are given that the volume of the gas is inversely proportional to its pressure.

⇒

Let the proportionality be k

So,  ---A

Now we are given that At a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 cubic inches

So, substitute x = 30

y = 600

Substitute the value of k in A

So,  

Hence  function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi is    

this is false ^.^ lol

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.