ACT Math › Direct and Inverse Variation
In an experimental setting, the pressure and the temperature of gas in a container are directly proportional. In the first experiment, the pressure of the gas was and the temperature of the gas was
, where
is a constant value not equal to
. If a second experiment found a temperature of
, which of the following represents the pressure of the gas?
In an experimental setting, the pressure and the temperature of gas in a container are directly proportional. In the first experiment, the pressure of the gas was and the temperature of the gas was
, where
is a constant value not equal to
. If a second experiment found a temperature of
, which of the following represents the pressure of the gas?
In a given set of experiments, the values of two variables are always inversely proportional. If in the first experiment the first variable was and the second was
, what could you expect the second variable to be if the first is
in a later experiment?
In a given set of experiments, the values of two variables are always inversely proportional. If in the first experiment the first variable was and the second was
, what could you expect the second variable to be if the first is
in a later experiment?
An instrument reads two values, and
daily. The values directly vary with respect to each other. If on Monday the value of
was
and
was
, which of the following could be the values for
and
on Wednesday?
Throughout a party, the number of joyful non-philosophers in a room is always inversely proportional to the number of philosophers in the room. The room begins with people,
of whom are philosophers. Later in the day, there are
philosophers in the room. How many joyful non-philosophers are at the party at the later time?
An instrument reads two values, and
daily. The values directly vary with respect to each other. If on Monday the value of
was
and
was
, which of the following could be the values for
and
on Wednesday?
Throughout a party, the number of joyful non-philosophers in a room is always inversely proportional to the number of philosophers in the room. The room begins with people,
of whom are philosophers. Later in the day, there are
philosophers in the room. How many joyful non-philosophers are at the party at the later time?
In a given solution, the proportion of water to apple juice is directly proportional. If the first batch of the solution contained gallons of apple juice and
gallons of water, how many gallons of apple juice will be needed for a solution containing
gallons of apple juice?
In a given solution, the proportion of water to apple juice is directly proportional. If the first batch of the solution contained gallons of apple juice and
gallons of water, how many gallons of apple juice will be needed for a solution containing
gallons of apple juice?