Question

Please help answer this please

Innes is starting a wedding photography business. She initially spent $659 on one-time expenses like camera equipment and editing software and then she will spend $69 per wedding to print photographs after each photo shoot. She will charge $90 per wedding photo shoot.


Innes wants to know how many weddings she must photograph in order to make a profit, so she writes the following inequality:


90n < 659 + 69n, where n = the number of weddings she photographs


Innes’ equation is not correct. In the space below identify and explain her error in 1-3 complete sentences.

Answer 1

The inequality symbol in the given inequality is backwards. It should be: ">"

Explanation:

Innes wants her net earnings per photo shot to be larger than her initial expenditure of $659, so this number (659) should be on the angle side of the inequality symbol. Then, her net earnings are: 90n - 69n (because she charges $90 per photo shot but will always have $69 expenses per photo shot. Therefore she wants her net income of 90n - 69n to be larger than the initial investments of $659:

90n - 69n > 659, which can also be written as: 90n > 659 +69n

Notice the inequality symbol goes opposite to the inequality presented in the question.