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.
Answer:
i. This is controlled experiment
ii. C. Whether the course was online or traditional and the statistical software used.
iii. B. The difference between students mean pre-test and post-test scores.
iv. D. 6
Step-by-step explanation:
This is controlled experiment because the university is observing students who take either online course or a standard course. The students have 3 different software available which they can learn. The students are observed based o pre test and post test results.
Answer:
r = 22.3m circa
Step-by-step explanation:
We know that the perimeter of a circle can be calculated as follows:
p = 2
r
So half of perimeter will be:
p/2 =
r
We know that p/s = 70m, therefore:
r = 70m /
= 22.3 m circa.
Answer:
the first one
Step-by-step explanation:
multiply by 4 subtract 2