The number of items (n) that can be purchased for a given amount of money is inversely proportional to the cost (c) of an item. if 480 items can be purchased when the cost per item is $4.90, how many items can be purchased when the cost per item is $5.40? round to the nearest whole number.

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

Where k is the proportionality constant  [that we need to find]

For this problem, we can write the ratio as:

Now given N = 480 and C = 4.90, we first find k:

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

Rounding to next whole number, we have 436 items

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step-by-step explanation: