Question

Ozzie is starting his own part time business. He plans to earn $20 per hour. He has the following expenses each month, $500 for overhead, $120 for phone and fax and $25 for materials. a. Write an equality that describes the number of hours h he must work to earn a profit of $555. b. How many hours should he have worked to earn a profit of at least $555?

Answer 1

to get $555 he would have to work 27.75 hours or round it up to 28 hours but to get enough money for ALL his expenses he would need to work 32.25 hours or round it up to 33

Answer 2

a. 20h - 645 = 555

b. Ozzie will work more than equal to 60 hours.

Explanation:

Ozzie plans to earn $20 per hour.

Expenses of Ozzie (per month)

Overhead = $500

Fax and phones = $120

Materials = $25

Total expenses per month = (500 + 120 + 25) = $645

a. Let Ozzie works h hours to earn a profit of $555.

monthly earning = 20h

equality for the profit will be

20h- (total monthly expenses) = 555

20h - 645 = 555

b. To get the profit of $555 at least, numbers of hours Ozzie will work will be represented by the term

20h - 645 ≥ 555

20h ≥ 555 + 645

20h ≥ 1200

h ≥
`(1200)/(20)`

h ≥ 60

Ozzie should work more than 60 hours to earn profit at least $555.