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- KJ4UTS

1. A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sold if the price is $9.50, how many items can be sold of the price is $8.75? Round your answer to the nearest whole number.
2. The time, T, for a car to travel from Macon to Atlanta is inversely proportional to the speed, R. If it takes 1.75 hours to travel between the two cities at 55 mph, find (in hours) the time to travel between the two cities at 70 mph.
It would take ____ hours to travel from Macon to Atlanta. Round your answer to two decimal places.

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- KJ4UTS

@welshfella is this similar to the previous problem, how would I set these up?

- welshfella

inverse variation is like
y = k/x
y = 20,000 and x = 9.50
plug these 2 values into the equation and calculate k
Then plug in the value of k you just found and put x = 8.75.
Then you can work out the new number of items to be sold.

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- KJ4UTS

20,000/9.50 = 2105.263

- KJ4UTS

Oh I made a mistake hold on

- welshfella

No
20,000 = k / 9.50
now solve for k

- welshfella

- you need to multiply both sides of the equation by 9.5

- KJ4UTS

190,000

- welshfella

|dw:1444157521890:dw|

- welshfella

right

- welshfella

now you have
y = 190,000/8.75

- welshfella

- i have replace k by 190,000

- KJ4UTS

190,000/8.75=21,714.285

- welshfella

right - of course you need to round that down to 21,714

- welshfella

gtg right now

- KJ4UTS

Ok thanks :)

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