Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this examp
1 answer:
Answer:
Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.
Step-by-step explanation:
Previous concepts
The term sample represent a set of observations or individuals selected from a population. And we can have a random sample (when all the individuals have the same probability of being selected) or a non random sample (when not all the individuals have probability of inclusion into the sample)
The term population represent the total of observations or individuals with a common characteristic.
If N represent the sample of the population and n the sample size we have always this inequality:
Solution to the problem
Suppose you want to assess student attitudes about the new campus center by surveying 100 students at your school. In this example, the group of 100 students represents the Sample, and all of the students at your school represent the Population.
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Answer:
The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.
Step-by-step explanation:
The complete question is shown in the picture attached below.
Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.
By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.
By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.
Lets analyze E(x) first. The output values are:
34, 52, 70 and 88
The difference between consecutive output values is:
18, 18 and 18
Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.
Now lets analyze C(x). The output values are:
62, 133, 260 and 435
The difference between consecutive output values is:
71, 127 and 175
Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.
Conclusion:
The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.
