Question

Rodrigo is starting his own part time business. He plans to earn $25 per hour. He has the following expenses each month, $750 for overhead, $110 for phone and fax and $75 for materials. a. Write an equality that describes the number of hours h he must work to earn a profit of $625. b. How many hours should he have worked to earn a profit of at least $625?

Answer 1

revenue - expenses = profit
25h - (750 + 110 + 75) > = 625 
25h - 935 > = 625 <== ur inequality (simplified)
25h > = 625 + 935
25h > = 1560
h > = 1560/25
h > = 62.4 hrs <==

Answer 2

The equality that describes the number of hours h he must work to earn a profit of $625 is h = 62.4 hours and The inequality that describes the number of hours h he must work to earn a profit of atleast $625 is $\rm h \geq 62.4\;hours$ and this can be determine by using arithmetic operations.

Given :

• Rodrigo plans to earn $25 per hour.

• Total expenses each month - $750 for overhead, $110 for phne and fax and $75 for materials.

a). Let the total number of hours be 'h'. The equality that describes the number of hours Rodrigo needs to work to earn a profit of $625 is given by:

25h - (750 + 110 + 75) = 625

25h = 1560

h = 62.4 hours

b). Then the inequality that describes the number of hours Rodrigo needs to work to earn a profit of atleast $625. is given by:

$\rm 25h -(750+110+75)\geq 625$

$\rm 25h - 935 \geq 625$

$\rm 25h \geq 625+935$

$\rm 25h \geq 1560$

$\rm h \geq 62.4\; hours$

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