2. Consider the information given and answer the following. It is known that M varies directly with N . When $$ \mathrm{M}=15 $$ and $$ \mathrm{N}=72 $$. a. Find the constant of variation b. Find the equation of variation. c. Find M when $$ \mathrm{N}=2 $$ II. Answer the following problems involving inverse variation. It is known that A is inversely proportional to B and $$ \mathrm{A}=8 $$ when $$ \mathrm{B}=3.5 $$. a. Give the constant of variation. b. Give the equation of variation. c. Find A when $$ \mathrm{B}=1.75 $$ d. Find B when $$ \mathrm{A}=4 $$ e. Is $$ \mathrm{A}=14 $$ when $$ \mathrm{B}=2 $$ ? Briefly Explain.

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1. **Direct Variation:** - a. Constant of variation $$ k = \frac{5}{24} $$ - b. Equation of variation $$ M = \frac{5}{24}N $$ - c. $$ M $$ when $$ N = 2 $$ is $$ \frac{5}{12} $$ 2. **Inverse Variation:** - a. Constant of variation $$ k = 28 $$ - b. Equation of variation $$ A = \frac{28}{B} $$ - c. $$ A $$ when $$ B = 1.75 $$ is $$ 16 $$ - d. $$ B $$ when $$ A = 4 $$ is $$ 7 $$ - e. Yes, $$ A = 14 $$ when $$ B = 2 $$ is correct.

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