41. which of the following describes the graph
representing a direct variation?
a. always a straight line
b. never crosses the y-axis
c. always a horizontal line
d. never intersects the origin

Always a straight line

Step-by-step explanation:

direct variation means, y ∝ x i.e, y is directly proportional to x.let the proportionality constant be m then it will become y=mx

which is always a straight line passing through origin having slope m

see the graph in the attachment

therefore option A is correct.option B. is wrong because it will cross y axis at the originoption C. is wrong because, it cant be a  horizontal line always as it depends on the slope "m"option D. is also wrong because, you can easily see from the graph that it will intersect origin always.

This kind of sampling is called the Cluster sampling. The cluster sampling method is done by dividing the population by groups called clusters. There will be an equal number of samples drawn from each cluster using simple random sampling. In here, the population are the students which are divided into clusters - by year level. 15 students will be selected from each cluster.