Practice Solving Inequality Word Problems

Nancy needs at least ‍1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105GB available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs.

The cheapest memory cards she can find each hold 256GB and cost $10. She wants to spend as little money as possible and still get the storage she needs.

Let \(C\) represent the number of memory cards that Nancy buys.

1. Which inequality describes this scenario?
   • Choose 1 answer:
     
   1. \(105+10C \leq 1000\)
   2. \(105+10C \geq 1000\)
   3. \(105+256C \leq 1000\)

   4. \(105+256C \geq 1000\)

2. What is the least amount of money Nancy can spend to get the storage she needs?