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Arte-miy333 [17]
3 years ago
5

The weekly cost per person to rent a cottage on a lake varies inversely with the number of people who share the cost. When four

people share the cost, each one pays $312.
A) Write an equation relating the cost per person c and the number n of people who share the cost.

B) If six people share the cost instead of four, how much does the cost per person decrease?
Mathematics
1 answer:
liberstina [14]3 years ago
5 0
A) When the relation is inverse, the product of the two related values is a constant. Here we have
    n·c = 4·312
    n·c = 1248 . . . . an equation relating n and c
You can rearrange this to
   c = 1248/n


B) Using 6 for n, we have
   c = 1248/6 = 208
The cost per person decreases from 312 to 208, so decreases by $104.
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