SAT Subject Test in Math I › Other Mathematical Relationships
varies inversely as the square root of
. If
, then
. Find
if
(nearest tenth, if applicable).
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
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?
x varies inversely with y. When x=10, y=6. When x=3, what is y?
The number of slices of pizza you get varies indirectly with the total number of people in the restaurant. If you get slices when there are
people, how many slices would you get if there are
people?
varies inversely with
and the square root of
. When
and
,
. Find
when
and
.
varies directly with
and inversely with the square root of
. Find values for
and
that will give
, for a constant of variation
.
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?
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?
The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.