Question

For a fundraising project, your mathclub is publishing a fractal art calendar.The cost of the digital images and thepermission to use them is $850. Inaddition to these "one-time" charges,the unit cost of printing each calendaris $3.25.As x gets larger and larger, what does the end behavior of the function tell you about the situation?

Answer 1

In the given question, we are asked to explain what the end behavior of the given function tells you about the situation as x gets larger and larger.

Step-by-step explanation

The function is given as;

`A=(850+3.25x)/(x)`

The end behavior is gotten as x tends to infinity

Therefore,

`\begin{gathered} \lim _(x\to\infty)A=\lim _(x\to\infty)\mleft((850+3.25x)/(x)\mright) \\ =\lim _(x\to\infty)\mleft((850+3.25x)/(x)\mright) \\ =\lim _(x\to\infty)\mleft((850)/(x)+3.25\mright) \\ =\lim _(x\to\infty)\mleft((850)/(x)\mright)+\lim _(x\to\infty)\mleft(3.25\mright) \\ =0+3.25 \\ =3.25 \end{gathered}`

Answer:

Therefore as x gets larger and larger, the function tends towards 3.25