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.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

thus, the first answer choice, y = sec x, is the correct one