Algebra II › Direct Proportionality
If an object is hung on a spring, the elongation of the spring varies directly as the mass of the object. A 20 kg object increases the length of a spring by exactly 7.2 cm. To the nearest tenth of a centimeter, by how much does a 32 kg object increase the length of the same spring?
The distance of a cyclist is directly proportional to the time he has traveled. Suppose he has traveled 12 miles in 1.5 hours. How far does he travel in a half hour?
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
There are two similar buckets of cylindrical shape. Bucket A has a height of and a radius of
. Bucket B has a height of
. How much can Bucket B hold?
If an object is hung on a spring, the elongation of the spring varies directly with the mass of the object. A 33 kilogram object increases the length of a spring by exactly 6.6 centimeters. To the nearest tenth of a kilogram, how much mass must an object posess to increase the length of that same spring by exactly 10 centimeters?
Sally currently has 192 books. Three months ago, she had 160 books. By what percentage did her book collection increase over the past three months?
The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.
On a map of the United States, Mark notices a scale of
. If the distance between New York City and Los Angeles in real life is
, how far would the two cities be on Mark's map?
A man wants to find the height of a building. Being unable to climb the building to measure its height directly, he waits until it's a sunny day and stands so that the top of his shadow lines up with the top of the building's shadow. He know's that he's tall, and that he's
from where the shadows stop. He them measures that he's
from the edge of the building. What is the building's height?
Sunshine paint is made by mixing three parts yellow paint and one part red paint. How many gallons of yellow paint should be mixed with two quarts of red paint?
(1 gallon = 4 quarts)