Question

Write a linear inequality in the context of Tamar's profit and the number of scented hand sanitizers sold in the business.

a) P ≤ 3.50n - 115, where P represents profit and n represents the number of sanitizers sold.
b) P ≥ 115 - 3.50n, where P represents profit and n represents the number of sanitizers sold.
c) P < 3.50n - 115, where P represents profit and n represents the number of sanitizers sold.
d) P > 3.50n - 115, where P represents profit and n represents the number of sanitizers sold.

Answer 1

The correct linear inequality that represents Tamar's profit from selling scented hand sanitizers is 'P > 3.50n - 115', where P is the profit and n is the number of units sold.

Step-by-step explanation:

In the context of Tamar's profit from the sale of scented hand sanitizers, Tamar's profit can be represented by a linear inequality involving the number of sanitizers sold (n) and her profit (P). Assuming that each sanitizer is sold for $3.50 and there are initial costs or fixed expenses amounting to $115, Tamar's profit would be any value leftover after subtracting that cost from her revenue which is $3.50 times the number of units sold. Therefore the inequality that represents this scenario is P > 3.50n - 115, where P represents Tamar's profit and n represents the number of sanitizers sold. This inequality indicates that Tamar will make a profit only if the revenue from selling the sanitizers is greater than the costs.