Ratio, Rate, and Proportion

Concept Quizzes

Simplify Ratios
Finding Unknown Ratios
Direct Variation
Inverse Variation
Ratio and Proportion Word Problems
Ratio, Rate and Proportion - Problem Solving

Challenge Quizzes

Ratio, Rate and Proportion: Level 1 Challenges
Ratio, Rate and Proportion: Level 2 Challenges

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 $x=5 ?$

\frac{32}{5}

\frac{8}{5}

\frac{16}{5}

\frac{4}{5}

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by Brilliant Staff

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?

24 23 26 25

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by Brilliant Staff

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?

\${33}

\${50}

\${200}

\${100}

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by Brilliant Staff

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 $102 \text{ km/h} ?$

7\text{ hours } 15\text{ minutes}

6\text{ hours } 30\text{ minutes}

7\text{ hours } 30\text{ minutes}

6\text{ hours } 15\text{ minutes}

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by Brilliant Staff

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?

\frac{1}{14}

\frac{2}{7}

\frac{7}{2}

14

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by Brilliant Staff

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