Asked by Nguyen Danny on May 07, 2024
Verified
The total revenue R is directly proportional to the number of units sold x . When 800800800 units are sold, the revenue is $3,125\$ 3,125$3,125 . Find the revenue when 600600600 units are sold. Round your answer to the nearest dollar.
A) $3,481\$ 3,481$3,481
B) $2,344\$ 2,344$2,344
C) $2,361\$ 2,361$2,361
D) $2,696\$ 2,696$2,696
E) $1,992\$ 1,992$1,992
Directly Proportional
The relationship between two variables where if one variable increases, the other variable increases by the same factor.
Total Revenue
The total income generated from the sale of goods or services, calculated as the unit price multiplied by the quantity sold.
- Understand and apply the concept of direct and inverse proportionality in real-world scenarios.
- Compute the coefficient of proportionality in direct and inverse proportional equations.
Verified Answer
DW
Dustin WilliamsMay 09, 2024
Final Answer :
B
Explanation :
Since revenue R is directly proportional to the number of units sold x, we can write R = kx, where k is the constant of proportionality. Given R = $3,125 when x = 800, we find k = 3125 / 800. To find the revenue when 600 units are sold, we use R = k * 600, leading to R = $2,344 after rounding.
Learning Objectives
- Understand and apply the concept of direct and inverse proportionality in real-world scenarios.
- Compute the coefficient of proportionality in direct and inverse proportional equations.