DL: W5 - Inverse Variation

Given $y=\frac{k}{x}$ , which means  $y\ varies\ inversely\ as\ x.$   

If  $\ x=5\ and\ k=30,\ then\ y=$ ______ 

Given q varies inversely as r, and  $q=12\ where\ r=3$   What is  $\ q\ when\ r=4\ ?$  

Given a varies inversely as b, and  $a=3\ when\ b=12$   What is  $\ a\ when\ b=1\ ?$  

The time it takes to drive between two amusement parks varies inversely as speed.

You can drive from San Antonio, SeaWorld to Disney World in Orlando in about 17 hours driving 70 mph.

About how long will it take you if you drive 60 mph

Round to the nearest tenths place.

The frequency of a whale's wave is inversely proportional to the wavelength.

A wave 88 m long has a frequency of about 17 kHz. What is the approximate length of a wave with a frequency of 5 kHz?

Round to the nearest tenths place.

The total amount of money earned varies inversely with the amount paid per hour.

You can earn a weekly salary in 37 hours at $9.25 an hour.

About how any hours would it take to earn the same salary at $10.75 an hour? (round to the nearest hour)

Given $y=\frac{k}{x}$ , which means  $y\ varies\ inversely\ as\ x.$   

If  $\ x=10\ and\ k=90,\ then\ y=$ ______ 

Given q varies inversely as r, and  $q=20\ where\ r=10$   What is  $\ q\ when\ r=5\ ?$  

Given a varies inversely as b, and  $a=5\ when\ b=30$   What is  $\ a\ when\ b=2\ ?$  

The time it takes to drive between two amusement parks varies inversely as speed.

You can drive from San Antonio, SeaWorld to Lego Land in California in about 19 hours driving 75 mph.

About how long will it take you if you drive 80 mph

Round to the nearest tenths place.