Question

The table represents a bicycle rental cost in dollars as a

Answer 1

Answer:

  (a)  This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Step-by-step explanation:

The equation of direct variation is ...

  y = kx

for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.

__

constant of variation

Solving the direct variation formula for k, we have ...

  k = y/x

Using the table values, we can see if this is constant:

  k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5

The "rate of change" is constant at $5 per hour.

The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.