Mike owns an electronics shop. He expects the revenue from the sales of mobile phones to increase by $100 with each unit sold. He targets a maximum revenue of $70,000. Thereafter, he expects the revenue, r, to drop by $100 with each unit sold, x. Which statements are true for this situation?

The equation that models the revenue is r = - 100|x - 700| + 70,000.

The equation that models the revenue is r = - 100|x - 70,000| + 70,000.

The equation that models the revenue is r = - |x - 100| + 70,000.

Revenue will be $50,000 for 500 units and 900 units.

Revenue will be $50,000 for 900 units and 1,200 units.

The equation that models the revenue is r = - |x - 100| + 70,000

Step-by-step explanation:

Mike owns an electronics shop. He expects the revenue from the sales of mobile phones to increase by $100 with each unit sold. He targets a maximum revenue of $70,000. Thereafter, he expects the revenue, r, to drop by $100 with each unit sold, x.

He targets maximum revenue, so leading coefficient is negative

sales of mobile phones to increase by $100 with each unit sold and then drops by $100 with each unit sold after reaching maximum revenue

So we use absolute function

r = - |x-100|

maximum revenue is 70,000 so we add it at the end

Revenue function becomes

r = - |x-100| + 70000

The equation that models the revenue is r = - |x - 100| + 70,000.