Does the chart below represent a proportional relationship? What is the rate of change?
1 answer:
This chart represents a proportional relationship. The rate of change will be 4.
<h3>What is the constant of proportionality?</h3>Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
Given;
x y
1 4
2 8
3 12
4 16
Here, x = ky
put the first value
k = 1/4
This chart represents a proportional relationship.
So the rate of change will be
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Answer:
Option A is right.
Step-by-step explanation:
Given that a new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 50 women over the age of 50 used the new cream for 6 months. Of those 50 women, 44 of them reported skin improvement(as judged by a dermatologist)
(Right tailed test)
Sample size = 50
Std error of proportion =
p difference=
Z statistic = p diff/std error = 6.928
p value <0.00001
Since p is less than alpha, reject null hypothesis.
A. We can reject the null hypothesis that p=0.4 and accept that p>0.4. That is, the cream can improve the skin of more than 40% of women over 50.