Asked by Youry Wylie on May 12, 2024
Verified
A company has found that the daily demand p for its boxes of chocolates is inversely proportional to the price x . When the price is $6\$ 6$6 , the demand is 750750750 boxes. Approximate the demand when the price is increased to $7\$ 7$7 . Round your answer to the nearest number of boxes.
A) 643643643 boxes
B) 365365365 boxes
C) 707707707 boxes
D) 498498498 boxes
E) 579579579 boxes
Inversely Proportional
A relationship between two variables where their product is constant. When one variable increases, the other decreases proportionally.
Daily Demand
The total quantity of a good or service that consumers want to purchase over the course of a single day.
- Utilize concepts of proportionality to calculate cost and demand scenarios in business contexts.
Verified Answer
SW
Shamara WilliamsMay 19, 2024
Final Answer :
A
Explanation :
The demand ppp is inversely proportional to the price xxx , so p=k/xp = k/xp=k/x , where kkk is a constant. Given p=750p = 750p=750 when x=6x = 6x=6 , we find k=750∗6=4500k = 750*6 = 4500k=750∗6=4500 . For x=7x = 7x=7 , p=4500/7≈643p = 4500/7 \approx 643p=4500/7≈643 .
Learning Objectives
- Utilize concepts of proportionality to calculate cost and demand scenarios in business contexts.