Carcass wrote:
Ciara earns $5 each time she signs up a new client for an online service. If she signs up more than 100 new clients in one month, she is given an additional $2 for every new client over that number. Assuming that she always signs up at least 100 clients, which of the following amounts could be Ciara’s monthly earnings from this activity?
Indicate all such amounts.
(A) $400
(B) $500
(C) $640
(D) $800
(E) $850
Let the number of clients above 100 be \(x\)
Earning = \((100 + x)5 + 2x = 500 + 7x\)
Let us check the option choices,
(A) $400As per the question she signs atleat 100, so she must earn ATLEAST \((100)5 = $500\)
(B) $500Yes, if she signs exactly 100 clients
(C) $640\(640 = 500 + 7x\)
\(140 = 7x\)
\(x = 20\)
(D) $800\(800 = 500 + 7x\)
\(300 = 7x\)
\(x = \frac{300}{7}\)
Since, number of clients cannot be a fraction - we eliminate this answer choice
(E) $850\(850 = 500 + 7x\)
\(350 = 7x\)
\(x = 50\)
Hence, option B, C and E