What is the difference between a parameter and a variable ? What role do parameters and variables have in a family of functions ?

Defined and explained in the explanation section

Step-by-step explanation:

A) Difference between a variable and a parameter is that;

A variable is simply the way in which an attribute or quantity is represented while a parameter is normally a constant value or symbol in an equation that describes a model.

B) In a family of a function like a quadratic function of say:

f(x) = ax² + bx + c.

In this example, the variable is x which is the input to the function while the symbols a, b, and c are the parameters which determine the behavior of the function f. Thus, for each value of the parameters a, b, c, we will obtain a different function.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer:

125 yards

explanation:

75+50=125. that is my answer