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.
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<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.
The reciprocal of 10 2/3 is 3/32
Answer:
Step-by-step explanation:
A math class has 5 girls and 5 boys in the seventh grade, 10 students in total. The probability of choosing one girl from this class is
A math class has 5 girls and 7 boys in the eighth grade, 12 students in total. The probability of choosing one girl from this class is
The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. The probability that the students she selects are both girls is
Answer:
40
Step-by-step explanation:
=12 * 2 = 24
=3 * 2 = 6
=5 * 2 = 10
= 24 + 6 + 10 =40
Answer:
872 is the final answer
Step-by-step explanation:
