1) The inequality is: 105 + 256C ≥ 1000
Explanation: Nancy needs at least 1000 GB of storage. She already has 105 GB on her phone, so the total storage must be at least 1000 GB. Each memory card holds 256 GB, so she needs to buy at least C cards in order to meet the storage requirement.
2) To find the least amount of money Nancy can spend, we need to find the minimum value of C that satisfies the inequality.
105 + 256C ≥ 1000
256C ≥ 1000 - 105
256C ≥ 895
C ≥ 895/256
C ≥ 3.495
Since Nancy cannot buy a fraction of a memory card, she needs to buy at least 4 memory cards. The cost of each memory card is $10, so the minimum amount of money Nancy can spend is 4 * $10 = $40.
Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105 GB 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 256 GB 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?
2) what is the least amount of money Nancy can spend to get the storage she needs?
1 answer