Answer:
I believe it’s C but not 100% sure
Step-by-step explanation:
If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4
The equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
<h3>What is the equation of the direct variation between two variables?</h3>
In this problem we have a case of <em>direct</em> variation between two variables, which is mathematically described by a <em>direct proportionality</em> model, whose form and characteristics are shown below:
b ∝ √c
b = k · √c (1)
Where k is the <em>proportionality</em> constant.
First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)
k = b / √c
k = 100 / √4
k = 100 / 2
k = 50
Then, the equation in which b varies directly as the <em>square</em> root of c is b = 50 · √c. (Correct choice: B)
To learn more on direct variation: brainly.com/question/14254277
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Given:
6 | 1 means a score of 61.
The scores of the students from the stem-and-leave are
61, 62, 63, 71, 73, 75, 77, 78, 78, 79, 82, 82, 84, 85, 89, 95, 96, and 99.
Required:
We need to find the lowest score in the 80s, the highest score overall, and the number of students who scored in the 70s.
Explanation:
The scores in the 80s are
82, 82, 84, 85, and 89.
The smallest score is 82.
The lowest score in the 80s is 82.
T
