Question

Medal?!?!


Can someone tell me what a linear function is and give an example on how to do it? Please be specific when explaining.

Answer 1

Definition:
A function f is linear if it can be expressed in the form
f ( x) = mx + b
where m and b are constants and x is an arbitrary member of the domain of f. Often the
relationship between two variables x and y is a linear function expressed as an
equation y = mx + b .


Examples:
Let v be the downward velocity of a body falling freely near the surface of the
Moon under the influence of gravity and let t be the time it has fallen. Let v0 be
the velocity imparted to it initially. Then
0 v = gt + v .
Thus, v is a linear function of t with m = g, the acceleration due to gravity near the
surface of the Moon, and b = v0.

) Suppose that you put P dollars into a savings account that draws simple interest
at a rate of r. After time t, the value of the savings account will be
V(t) = P (1+ rt).
V is a linear function of t. In this example, it is not quite so obvious what the
constants m and b are. We leave it as an exercise to identify them.


With solving this might help.
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-relationships-functions/analyzing-functions-algebra/v/interpreting-features-of-linear-functions-example

Answer 2

Thank you!

Answer 3

Welcome, and let me know if you need any more :)
GOOD LUCK BEAUTIFUL!