Question

Use Function 1 to answer the following:

Function 1: V = 5x + 7
What is the Rate of Change for Function 1 and explain how you found it?
a) The rate of change for Function 1 is 5, and I found it by examining the coefficient of x in the equation.
b) The rate of change for Function 1 is 7, and I found it by examining the constant term.
c) The rate of change for Function 1 is 3, and I found it by examining the coefficient of V.
d) The rate of change for Function 1 is 2, and I found it by examining the exponent.

Answer 1

The rate of change for Function 1, V = 5x + 7, is 5, which reflects the slope of the line and is determined by the coefficient of x in the equation.

Step-by-step explanation:

The Rate of Change in Function 1, which is V = 5x + 7, can be determined by identifying the coefficient of the variable x. In this linear function, the coefficient of x is the slope of the line, which represents the Rate of Change. Therefore, the correct choice is (a): The rate of change for Function 1 is 5, and this is found by examining the coefficient of x in the equation. A rate of change is the amount by which a variable quantity changes relative to the change in another variable quantity - in this case, how much the value of V (the variable quantity) changes per unit change in x (the independent variable).