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Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
Table of the graph:
x: <em></em>1 2 3
y: 5 25 125
Average Rate of Change =
Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100
So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.
x: <em></em>1 2 3
y: 5 25 125
Average Rate of Change =
Section A = 25-5/2-1 =20/1 =20
Section B = 125 - 25/ 3-2 = 100/1 = 100
So, Section B is 5 times greater than A.
Section B is greater because the slope of two points is greater than points in Section A.