Question

A certain animated movie earned $1.1 × 10^9 in revenues at the box office. The movie lasts 9.1 × 10^1 minutes. How much revenue was earned per minute of the movie? Write your answer in scientific notation rounded to two decimal places. Options: a) $1.21 × 10^7 b) $1.21 × 10^8 c) $1.20 × 10^9 d) $1.20 × 10^10

Answer 1

Answer: Here's my answer

Explanation:

To find out how much revenue was earned per minute of the movie, we can divide the total revenue by the duration of the movie.

Given:

Revenue = $1.1 × 10^9

Duration of the movie = 9.1 × 10^1 minutes

To calculate the revenue per minute, we divide the revenue by the duration:

Revenue per minute = Revenue / Duration

Substituting the given values:

Revenue per minute = ($1.1 × 10^9) / (9.1 × 10^1)

When dividing numbers written in scientific notation, we subtract the exponents of the powers of 10 and divide the coefficients:

Revenue per minute = (1.1 / 9.1) × (10^9 / 10^1)

Simplifying:

Revenue per minute = 0.120879 × 10^(9-1)

Since the question asks for the answer in scientific notation rounded to two decimal places, we can express 0.120879 as 1.21 rounded to two decimal places:

Revenue per minute = 1.21 × 10^(9-1)

Simplifying the exponent:

Revenue per minute = 1.21 × 10^8

Therefore, the amount of revenue earned per minute of the movie, in scientific notation rounded to two decimal places, is $1.21 × 10^8 (option b).