When formulating the function accurately, it is crucial to properly designate the variables and comprehend the problem's context. Here, we will define y as the number of individuals and x as the number of songs performed.
At x = 0, y = 567
At x = 1, y = 567 - 567(1/3)
At x = 2, y = 567 - 567(1/3)(1/3)
At x = 3, y = 567 - 567(1/3)(1/3)(1/3)
Thus, the equation representing the number of individuals remaining after x songs is:
y = 567 - 567(1/3)x
y = 567(1 - x/3)
Answer:
1) The calculated average rate of change is 6.
2) The average rate of change across an interval is computed by taking the ratio of the total variation in the dependent variable or function values to the changes in the independent variable or input function values.
Step-by-step explanation:
1) The average change in the function can be determined as follows;
At x = 0.75, y = -0.5, at x = 1.125, y = 1.75
Thus, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6.
2) To find the average rate of change for a segment on a graph or curve, one divides the difference in the y-values of the selected points by the difference in their x-values.
Answer:
anita --> 52.5 square feet
fred --> 31.5 square feet
Step-by-step explanation:
84 - 21 = 63
63/2 = 31.5
Answer:
Anya's line has a slope of m = 3
Step-by-step explanation:
Explanation:-
Anya created a graph representing the line
(y−2)=3(x−1)
From this, we can deduce that the slope-intercept representation is
y = mx +c
Now by rewriting Anya's line
y−2=3(x−1)
⇒ y - 2 = 3x - 3
⇒ y = 3x - 3 + 2
⇒ y = 3 x - 1
<pBy comparing this with the slope-intercept structure<p y = mx +c<pwe conclude that Anya's slope is m = 3, and y-intercept is C = -1
Solution:
[(2x² + 5x) + (4x² – 4x)] + 5x³ =
(2x² + 5x) + [(4x² – 4x) + 5x³]
Step-by-step breakdown:
