When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 11 people and the cost per person was $20. If the number of people changed to 4, what would be the new cost per person?

Answer 1

To solve this problem, we can use the inverse variation formula:

y = k/x

Where:
y = cost per person
x = number of people
k = constant of variation

We can use the initial values to find the value of k:

20 = k/11
k = 220

Now we can use k to find the new cost per person when the number of people changes to 4:

y = 220/4
y = 55

Therefore, the new cost per person would be $55.