Question

The number of superphone batteries produced is doubling each year. In year one, 10,000 of these batteries were made. If 0.8 kilograms of lithium are used to make 100 (one hundred) superphone batteries, how many kilograms of lithium will be required for the superphone batteries produced in year four?

Answer 1

In year four, 640 kilograms of lithium would be needed to produce the superphone batteries, given that production doubles each year from 10,000 batteries in year one.

Step-by-step explanation:

To calculate the quantity of lithium needed for the production of superphone batteries in year four, we need to follow a few mathematical steps. First, we determine the number of batteries produced in year four by doubling each year's production starting from the initial 10,000 batteries made in year one. Then we use the provided ratio to find out the corresponding mass of lithium required.

Number of Batteries Calculation:

Year one: 10,000 batteries

Year two: 10,000 * 2 = 20,000 batteries

Year three: 20,000 * 2 = 40,000 batteries

Year four: 40,000 * 2 = 80,000 batteries

Amount of Lithium Calculation:

For 100 batteries: 0.8 kilograms of lithium

For 80,000 batteries: 0.8 kg per 100 batteries * (80,000 / 100) = 640 kilograms of lithium

Therefore, in year four, 640 kilograms of lithium would be required to produce 80,000 superphone batteries.