11. If y = 166 when x = 83, what is y when x = 23?
12. A leaky valve on the water meter overcharges the residents for one gallon of water in every
months. The
overcharged amount w varies directly with time t.
a.
Find the equation that models this direct variation.
b.
How many months it will take for the residents to be overcharged for 8 gallons of water?
Find the slope of the line.
13.
14.
15. A new candle is 8 inches tall and burns at a rate of 2 inches per hour.
Write an equation that models the height h after t hours.
a.
Sketch the graph of the equation.
b.
16. For
,
.
17. Suppose
and
.
Find the value of
.
18. Graph the equation
.
19. The range of a car is the distance R in miles that a car can travel on a full tank of gas. The range varies
directly with the capacity of the gas tank C in gallons.
Find the constant of variation for a car whose range is 341 mi with a gas tank that holds
a.
22 gal.
b.
Write an equation to model the relationship between the range and the capacity of the
gas tank.
Find the slope of the line through the pair of points.
1
1
1
20. (
, 0 ) and (
,
)
3
2
2