Which function has a constant additive rate of change of 14
1 answer:
The first graph function has a constant additive rate of change of -1/4.
From the figure:
First of all when we talk about a rate of change that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
In the first graph we can observe that the x variable increases and y - variable decrease.
rate of change = slope = -1/4
from first graph take any two points.
(2,1) and (-2,2)
slope = 2 - 1 / -2-2
= 1/-4
= -1/4
Learn more about the function here:
#SPJ4
Full question:
Is in the image uploaded.
You might be interested in
Answer:
The two airplanes are about 330miles apart.
Step-by-step explanation:
The diagram interpreting the question has been attached to this response.
As shown in the diagram,
i. the airplanes leave at point C.
ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.
iii. the points A, B and C form a triangle with sides a, b and c.
To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.
c² = a² + b² - 2abcosC --------------(i)
where;
b = 312miles
a = 487miles
C = 42°
Substitute these values into equation (i) and solve as follows;
c² = (487)² + (312)² - 2(312)(487)cos(42)
c² = (237169) + (97344) - 303888cos(42)
c² = (237169) + (97344) - 303888(0.7431)
c² = 334513 - 225819.1728
c² = 108693.8272
<em>Take the square root of both sides</em>
√c² = √108693.8272
c = 329.69
c ≅ 330miles
Therefore, the two airplanes are far apart by 330miles
