Answer:
The volume of the gas is
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
v------> the volume of a gas in cubic centimeters
p-----> the pressure of the gas in liters per square centimeters
so
we have
substitute and solve for k
The equation is
<em>Find the volume of the gas when the pressure is 2.2 L/cm2</em>
so
For Find the value of v
substitute in the equation
Answer:
yes to both
Step-by-step explanation:
For a relationship to be a function then each value of x must relate to exactly one unique value of y.
This is the case in this table as
2 → 76
4 → 152
6 → 228
All unique values thus a function
To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.
m =
with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table
m = =
= 38
Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)
m = =
= 38
Since rate of change is constant then function is linear