Question

p varies inversely with x. if p = 14 when x = 16, find the value of p when x = 21.
a. 224
b. \\(\frac{21}{16}\\)
c. \\(\frac{32}{3}\\)
d. 4,704

Explanation:

Step1: Define inverse variation

$P = \frac{k}{x}$ where $k$ is constant

Step2: Solve for constant $k$

Substitute $P=14, x=16$:
$14 = \frac{k}{16}$
$k = 14 \times 16 = 224$

Step3: Find $P$ when $x=21$

Substitute $k=224, x=21$:
$P = \frac{224}{21} = \frac{32}{3}$

Answer:

C. $\frac{32}{3}$