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.
__
<h3>constant of variation</h3>
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.
Answer:
-12
Step-by-step explanation:
Answer: 20 minutes
Step-by-step explanation:
An hour is 60 minutes, so (1/3)(60 min) = 20 min.
Answer:
22
Step-by-step explanation:
64+20= 84 (number of students in total)
84/2= 42 (number of students each session)
Moving 22 students to Monday will result in equal number of students.
