Question

The function f(x)=245(4)^x represents the growth of a fruit fly population every YEAR in the orange grove. Stacy wants to manipulate the formula to an equivalent form that calculates every MONTH, not every year. Which function is correct for Stacy's purposes? f(x)=45(4)^x f(x)=45(4^12)x/12 f(x)=2752(4)^x f(x)=245(4^1/12)^12x II think that it is the second option but idk. My reasoning is because since in a single year there are 12 months then it should be the denominator of a fraction and the numerator would be howm many months. But im also not sure if it might be the last one

Answer 1

@mathmath333

Answer 2

@campbell_st

Answer 3

i think ur options are not in proper format, try to write it exactly again

Answer 4

The function f(x)=245(4)^x represents the growth of a fruit fly population every YEAR in the orange grove. Stacy wants to manipulate the formula to an equivalent form that calculates every MONTH, not every year. Which function is correct for Stacy's purposes?
f(x)=45(4)^x

f(x)=45(4^12)x/12

f(x)=2752(4)^x

f(x)=245(4^1/12)^12x

II think that it is the second option but idk. My reasoning is because since in a single year there are 12 months then it should be the denominator of a fraction and the numerator would be howm many months. But im also not sure if it might be the last one

Answer 5

@mathmath333

Answer 6

\(\large f(x)=45(4)^x\\

\large f(x)=45(4^{12})*\frac{x}{12}\\

\large f(x)=2752(4)^x \\

\large f(x)=245(4^{\frac{1}{12}})^{12x }\)

are this correct ?

Answer 7

yes

Answer 8

@mathmath333

Answer 9

@CoconutJJ any help?

Answer 10

@Abhisar

Answer 11

#@surryyy

Answer 12

\(\large \begin{align} \color{black}{f(x)=245(4)^x \hspace{.33em}\\~\\
f(1)=245(4)^{1}=980\hspace{.33em}\\~\\

\normalsize \text{option A} \hspace{.33em}\\~\\
45(4)^1=180 \hspace{.33em}\\~\\
\normalsize \text{option B} \hspace{.33em}\\~\\
45(4^{12})*\frac{1}{12}\approx 12 million \hspace{.33em}\\~\\
\normalsize \text{option C} \hspace{.33em}\\~\\
2752(4)^x =11008 \hspace{.33em}\\~\\
\normalsize \text{option D} \hspace{.33em}\\~\\
245(4^{\frac{1}{12}})^{12}=980 \hspace{.33em}\\~\\
}\end{align}\)

Answer 13

@mathmath333

the question isnt asking to solve theses, its asking which one would she use if she wanted to use it in months instead of years

Answer 14

i know i showed all options

Answer 15

of which D mathches with ur function , but m not sure.

Answer 16

@mathmath333 thanks alot , i think ive got it

Answer 17

D is correct ?

Answer 18

@mathmath333 i believe so lol