Basic Mathematics

Ratio, Rate, and Proportion

Inverse Variation


The value of \(y\) varies inversely with \(x.\) If \(y=6\) when \(\displaystyle x=\frac{8}{3},\) what is the value of \(y\) when \(x=5 ?\)

Suppose there is a water faucet that can fill a \(575\)-liter-tank in \(100\) minutes. How many faucets do we need to fill this tank in \(4\) minutes?

A cruise ship rents for \(\$800\) a day. If \(8\) people go on a one-day trip by this ship, what is the cost per capita?

Calvin is planning to visit his hometown during Thanksgiving Holidays. It will take \(9\) hours if he drives at \(85 \text{ km/h}.\) How long will it take if he drives at \(102 \text{ km/h} ?\)

If \(z\) varies directly as \(x\) and inversely as \(y,\) how many times larger does \(z\) get if \(x\) is increased by \(2\) times and \(y\) is decreased by \(7\) times?


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