Question

Danel discovered that the number of customer buying to his shop daubles every week. As a sale promoter,he tells to give afeer soda to whever buys from his shop during 6th ,8thand 12th week. He wants to purchase the soda eary enough but he dosen't know how many of them he should buy for the promotio

n. There were 4 customer in afirst week. Task. Help him to find how many sodas he need to purchase for the promotion.

Answer 1

Danel needs to purchase 128 sodas for the 6th week, 512 sodas for the 8th week, and 8192 sodas for the 12th week to fulfill the promotion.

Explanation:

To determine how many sodas Danel needs to purchase for the promotion, we need to calculate the number of customers during the 6th, 8th, and 12th week.

Given that the number of customers doubles every week, we can use the concept of exponential growth.

The number of customers in the 6th week would be 4 * (2^5) since there are 5 weeks between the first and sixth week.

Similarly, the number of customers in the 8th week would be 4 * (2^7), and the number of customers in the 12th week would be 4 * (2^11).

Let's calculate these values:

Number of customers in the 6th week = 4 * (2^5) = 4 * 32 = 128

Number of customers in the 8th week = 4 * (2^7) = 4 * 128 = 512

Number of customers in the 12th week = 4 * (2^11) = 4 * 2048 = 8192

Therefore, Danel needs to purchase 128 sodas for the 6th week, 512 sodas for the 8th week, and 8192 sodas for the 12th week to fulfill the promotion.