Question

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Answer 1

Answer:

Problem 7) C

Problem 8) B

Step-by-step explanation:

Recall that inverse variation has the form:

$\displaystyle y=\frac{k}{x}$

Where k is the constant of variation.

Problem 7)

We are given that y = 39 when x = 1/3. Thus:

$\displaystyle 39=\frac{k}{{}^{1}\!/ \!{}_{3}}$

Solve for k:

$\displaystyle k=\frac{1}{3}(39)=13$

Hence, our equation is:

$\displaystyle y=\frac{13}{x}$

Then when x = 26, y equals:

$\displaystyle y=\frac{13}{(26)}=\frac{1}{2}$

Problem 8)

We are given that y = 25 when x = -1/5. Thus:

$\displaystyle 25=\frac{k}{-{}^{1}\!/ \!{}_{5}}$

Solve for k:

$\displaystyle k=-\frac{1}{5}(25)=-5$

Hence, our equation is:

$\displaystyle y=-\frac{5}{x}$