Question

A company finds that if they price their product at $ 50, they can sell 240 items of it. for every dollar increase in the price, the number of items sold will decrease by 3.

A) items sold=240−3×(price−50)
B) items sold=240+3×(price−50)
C) items sold=240−(price−50)
D) items sold=240+(price−50)

Answer 1

The correct formula to represent the relationship between the product's price increase and the items sold is A) items sold = 240 - 3×(price - 50), where for each dollar increase, the number of items sold decreases by 3 units.

Step-by-step explanation:

The student is presented with a question that involves creating a linear equation to describe the relationship between the price of a product and the number of items sold. When the price is set at $50, 240 items are sold; however, for each dollar increase in price, 3 fewer items are sold. To reflect this scenario, we need an equation that decreases the number of items sold as the price increases.

The correct formula would be A) items sold = 240−3×(price−50) because for each dollar increase in the price (price - 50), the number of items sold decreases by 3 times that amount (3×(price−50)). Therefore, the number of items sold decreases as the price goes up, which is consistent with the described scenario.