The table represents a bicycle rental cost in dollars as a
function of time in hours.
which explains whether or not the function represents a
direct variation?
bicycle rental
time
(hours)
cost
($)
0
10
20
a. this function represents a direct variation because it
passes through the origin and has a constant rate of
change of $5 per hour.
b. this function represents a direct variation because it has
a positive, constant rate of change of $10 per hour.
c. this function does not represent a direct variation
because it does not represent the cost for 1 hour.
d. this function does not represent a direct variation
because the function rule for the cost is to add $10, not
multiply by a constant.