Question

1. suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100

options:

• ( k = 0.025, y = 0.025x )
• ( k = 250, y = 250x )
• ( k = 0.025, y = \frac{0.025}{x} )
• ( k = 250, y = \frac{250}{x} )

Explanation:

Step1: Recall inverse variation formula

\( y = \frac{k}{x} \)

Step2: Substitute x=2.5, y=100 to find k

\( k = yx = 100 \times 2.5 = 250 \)

Step3: Write the variation equation

\( y = \frac{250}{x} \)

Answer:

k = 250, \( y = \frac{250}{x} \)