Understanding Direct Proportionality - Math
Card 1 of 12
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)
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)
Tap to reveal answer
First set up the proportion:

x = 
Then convert this to gallons:

First set up the proportion:
x =
Then convert this to gallons:
← Didn't Know|Knew It →
Sarah notices her map has a scale of
. She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Tap to reveal answer
is the same as 
So to find out the distance between the cities

is the same as
So to find out the distance between the cities
← Didn't Know|Knew It →
If
is directly proportional to
, and
when
, find a formula for
.
If is directly proportional to
, and
when
, find a formula for
.
Tap to reveal answer
since
and 
Solving for
, you get that 
Replacing
in the original equation, you get the answer of

since
and
Solving for , you get that
Replacing in the original equation, you get the answer of
← Didn't Know|Knew It →
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)
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)
Tap to reveal answer
First set up the proportion:

x = 
Then convert this to gallons:

First set up the proportion:
x =
Then convert this to gallons:
← Didn't Know|Knew It →
Sarah notices her map has a scale of
. She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Tap to reveal answer
is the same as 
So to find out the distance between the cities

is the same as
So to find out the distance between the cities
← Didn't Know|Knew It →
If
is directly proportional to
, and
when
, find a formula for
.
If is directly proportional to
, and
when
, find a formula for
.
Tap to reveal answer
since
and 
Solving for
, you get that 
Replacing
in the original equation, you get the answer of

since
and
Solving for , you get that
Replacing in the original equation, you get the answer of
← Didn't Know|Knew It →
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)
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)
Tap to reveal answer
First set up the proportion:

x = 
Then convert this to gallons:

First set up the proportion:
x =
Then convert this to gallons:
← Didn't Know|Knew It →
Sarah notices her map has a scale of
. She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Tap to reveal answer
is the same as 
So to find out the distance between the cities

is the same as
So to find out the distance between the cities
← Didn't Know|Knew It →
If
is directly proportional to
, and
when
, find a formula for
.
If is directly proportional to
, and
when
, find a formula for
.
Tap to reveal answer
since
and 
Solving for
, you get that 
Replacing
in the original equation, you get the answer of

since
and
Solving for , you get that
Replacing in the original equation, you get the answer of
← Didn't Know|Knew It →
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)
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)
Tap to reveal answer
First set up the proportion:

x = 
Then convert this to gallons:

First set up the proportion:
x =
Then convert this to gallons:
← Didn't Know|Knew It →
Sarah notices her map has a scale of
. She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Sarah notices her map has a scale of . She measures
between Beaver Falls and Chipmonk Cove. How far apart are the cities?
Tap to reveal answer
is the same as 
So to find out the distance between the cities

is the same as
So to find out the distance between the cities
← Didn't Know|Knew It →
If
is directly proportional to
, and
when
, find a formula for
.
If is directly proportional to
, and
when
, find a formula for
.
Tap to reveal answer
since
and 
Solving for
, you get that 
Replacing
in the original equation, you get the answer of

since
and
Solving for , you get that
Replacing in the original equation, you get the answer of
← Didn't Know|Knew It →