Question

A certain animated movie earned $ 1 . 1 ? 1 0 9 $1.1?10 9 in revenues at the box office. The movie lasts 9 . 1 ? 1 0 1 9.1?10 1 minutes. How much revenue was earned per minute of the movie? Write your final answer in scientific notation, and round to two decimal places. $

Answer 1

Answer:

$$1.21\times 10^{7}$ per minute.

Step-by-step explanation:  

We have been given that a certain animated movie earned $$1.1\times10^{9}$ in revenues at the box office. The movie lasts $9.1\times10^{1}$ minutes.

To find the revenue earned per minute of the movie we will will divide $1.1\times10^{9}$ by $9.1\times10^{1}$.

$\text{The revenue earned per minute by the movie}=\frac{1.1*10^{9}}{9.1*10^{1}}$  

Using quotient rule of exponents we will get,

$\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{(9-1)}$

$\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{8}$

$\text{The revenue earned per minute by the movie}=0.1208791208791209\times 10^{8}$

We can write 0.1208791208791209 as $1.208791208791209\times10^{-1}$.

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1} \times 10^{8}$

Using product rule of exponents we will get,    

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1+8}$    

$\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{7}$

Upon rounding our answer to two decimal places we will get,

$\text{The revenue earned per minute by the movie}=1.21\times 10^{7}$      

Therefore, the movie had earned a revenue of $$1.21\times 10^{7}$ per minute.

Answer 2

Answer:

1.21×10^7

Step-by-step explanation:

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