Word Problems with direct variation
Name________________________
Date________
Block_______
1) Could the relationship between the following quantities be represented by a direct
variation equation?
a) The amount of time spent running at a steady pace and the number of miles ran
b) Your age a certain number of years from now
c) Your age and your height
d) The number of lawns you mow and the amount of money you make
e) The amount of gas you buy (in gallons) and the amount of money you pay
Show all work including an equation or proportion.
2) The amount of sale taxes on a new car is direct proportional to purchase price of
the car, if a $25000 car pays $1750 in sales taxes. What is the purchase price of a
new car which has a $3500 sale taxes?
3) The cost of a House in Florida is proportional to the size of the house. A 2850square-foot house cost $182400, then what is the cost of a 3640-square-foot house?
4) Weight varies directly with gravity. With his equipment on an astronaut weighs
360 pounds on earth but only 60 pounds on the moon. If another astronaut had
landed on the moon that weighed 54 pounds with her equipment, how much would
she weigh on Earth with equipment?
5) A motor bike travels 225 km with 5 liters of gas. How many liters of gas are
needed to travel 135 km?
6) The cost of a taxi fare (C) varies directly as the distance (D) traveled. When the
distance is 60 km, the cost is $35. Find the cost when the distance is 95 km.
7) If y varies directly as x, and y = 3 when
x = 15, write an equation describing the
variation.
8) If y varies directly as x, and the
constant of variation is 4, what is y when x
= 6?
9) If y varies directly as x, and the
constant of variation is
y = 10?
, what is x when
10) y varies directly as x, and the constant
of variation is . Graph the line which
represents the variation, and write an
equation that describes the variation.
11) y varies directly as x, and y = 3 when
x = 2. Graph the line which represents the
variation, and write an equation that
describes the variation.