Nina is selling coins from her coin collection. When she started sell…

Question

Prompt

Nina is selling coins from her coin collection. When she started selling the coins, there were

2, 600

coins in the collection. At the end of each week for

3

weeks after Nina started selling the coins, the number of coins in the collection had decreased by

\frac{1}{2}

of the coins in the collection at the end of the previous week. Which equation gives the number of coins,

c

, in the collection

w

weeks after Nina started selling the coins, where

0 \leq w \leq 3

c = w^{\frac{1}{2}}

c = 2, 60 0^{w}

c = 1, 300 (\frac{1}{2})^{w}

c = 2, 600 (\frac{1}{2})^{w}