the volume of a gas in a container at a constant temperature varies inversely as the pressure. the volume is 23 cubic centimeters at a pressure of 9 pounds. use a
proportion to find the pressure when the volume is 44 cubic centimeters.
pounds.

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 or

Let

y -----> the volume of a gas in cubic centimeters

x ----> the pressure in lb/cm^2

we have

For y=23, x=9

Find the value of k

----->

so

The equation that represent the proportion is

For y=44

substitute in the equation and solve for x

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17