Question

Lena sells custom-printed T-Shirts at her shop. She can sell 120 T-Shirts in a month if she charges $14 for each T-shirt. She plans to change the price per T-shirt by a fixed amount ñ times. The revenue, in dollars, after ñ changes in price can be modeled by the expression (120+5ñ) (14-3ñ)

For each (Increase or decrease) in the price per T-shirt by $ (3,5,9,14,17), Lena will sell (3 more, 5 more, 14 more, 3 fewer, 5 fewer)​

Answer 1

The correct answer,for each decrease in the price per T-shirt by $3,Lena sells 5 more

Step-by-step explanation:

First and foremost,total revenue is quantity sold multiplied by price per unit.

In this case, revenue is (120+5n)*(14-3n)

(120+5n) represents the quantity sold

(14-3n) depicts the price per shirt

14-3n,the -3n implies that price was decreased by $3 for n number of times

120+5n,the 5n implies that quantity sold increased by 5 units for n number of times

The rationale is that when price is reduced,quantity sold increases,inverse relationship between price of shirt and quantity of shirts sold

The correct answer,for each decrease in the price per T-shirt by $3,Lena sells 5 more