If you double the input of a function and it results in twice the output and if you triple the input and it result in three times the output what can be guessed about the function.

The function is most likely directly proportional.

More input results in more output.

Step-by-step explanation:

Apex

A function behaving as you state is a linear function, which means that the output varies directly with the input.

So, there exists some constant such that your function is in the form

In fact, if you double the input, you have

And similarly

Note that this is a guess, it may happen that output doubles (triples) if you double (triple) the input, and still the function is not like .

For example, the function

is such that

So, it may seems that doubling and tripling the input doubles and triples the output, but this is not true for every input, for example,

And so doubling the input didn't double the output.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.