y=3x+2
f(x) = x^6 - 6x
You will need to determine which situation is linear and which situation is nonlinear. For the linear situation you will need to write a function that models it and then write 1 ordered pair that is a solution and explain its meaning in the context of the situation.
The function y = 3x + 2 represents a linear situation.
To write a function that models it, we can use the general equation of a line, which is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope is 3 and the y-intercept is 2. Therefore, the function y = 3x + 2 models the linear situation.
To find an ordered pair that is a solution to this linear situation, we can choose any value for x and substitute it into the equation to find the corresponding y-coordinate.
For example, let's choose x = 1.
When we substitute x = 1 into the equation, we get y = 3(1) + 2 = 3 + 2 = 5.
Therefore, the ordered pair (1, 5) is a solution to the linear situation, where x = 1 represents a given input value and y = 5 represents the corresponding output value.
In the context of the situation, this could mean that when x = 1, y represents the value obtained by multiplying x by 3 and adding 2 to it.