Question

To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?

The inequality that will determine the number of items that need to be sold to make a profit is
.

The solution to the inequality is
.

The company must sell at least
items to make a profit.

Answer 1

first one : 7.5x -100 > 79.86 + 5.8x

second one : x > 105.8

last one : 106

Explanation:

Homie above me using too many words . So i took one for the team and guessed to see the right answers. But i played myself because its litterly the first thing they said lol. dont be lazy kiddos

Answer 2

Inequality: 7.5x – 100 > 79.86 + 5.8x

Solution: x>106

The company must sell at least 106 items to make a profit.

Explanation:

Hi, to answer this question we have to analyze the information given:

Revenue: 7.5x – 100

Costs: 79.86 + 5.8x

To make a profit, a company’s revenue must be greater than its operating costs.

So:

7.5x – 100 > 79.86 + 5.8x

Solving for x (number of items sold)

7.5x-5.8x>79.86+100

1.7x >179.86

x>179.86/1.7

x> 105.8

x>106

The company must sell at least 106 items to make a profit.

Feel free to ask for more if needed or if you did not understand something.