Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function in feet per second?
Answers
we are given points A and B
A=(3,150)
B=(4,200)
we can find points
x1=3 , y1=150
x2=4 , y2=200
(a)
the change in y-values from Point A to Point B is
now, we can plug values
...........Answer
(b)
the change in x-values from Point A to Point B is
now, we can plug values
...........Answer
(c)
the rate of change of the linear function in feet per second is
now, we can plug values
.................Answer
The straight line graph indicates that rate of change of the distance traveled with time by the red kangaroo is a constant
- The change in y-values from point A to point B is 50 feet.
- The change in x-values from point A to point B is 1 second.
- The rate of change of the linear function is 50 feet per second.
Reasons:
The y-values at point A = 150 feet
The y-values at point B = 200 feet
Change in y-values from point A to point B, Δy is given as follows;
Δy = y-values at point B - y-values at point A
Δy = 200 feet - 150 feet = 50 feet
Change in y-values from point A to point B, Δy = 50 feet
The x-values at point A = 3 seconds
The x-values at point B = 4 seconds
Change in x-values from point A to point B, Δx is given as follows;
Δx = x-values at point B - x-values at point A
Δx = 4 seconds - 3 seconds= 1 second
Change in x-values from point A to point B, Δx = 1 second.
The rate of change of the linear function is , therefore, we have;
Learn more here:
Related Questions
Figure ABCD is a rhombus with point A (3, −1). What rule would rotate the figure 270° counterclockwise?(x,y)→(−y,−x) (x,y)→(−y,x) (x,y)→(y,x) (x,y)→(y,−x)
Y ^-7 / y ^-13 20 POINTS PLEASE HELP
ANSWER QUICKLY FOR BARIESS!!
Anyone know this? Help pls!
Answers
Answer:
g(x) = x² - 5
Step-by-step explanation:
The vertex form of a parabola is:
→ y = (x - a)² + b
where (a, b) is the vertex of the parabola.
From the graph, we can identify that the vertex has been shifted down 5 units, and it has not been shifted horizontally. Therefore, we can assign the following a and b values:
- a = 0
- b = -5
Now, we can plug these into the vertexformequation to get the equation of the function g(x):
y = (x - 0)² + (-5)
This simplifies to:
y = x² - 5
Answers
Answer: 12
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
Answers
Answers
⇒ n= 1/16+ 2 (inverse operation)
⇒ n= 2+ 1/16
⇒ n= 2 1/16
Final answer: n= 2 1/16.
Answers
Add the half to the other side afeterreplacing f(x) with a zero
1/2=7x divide by 7
7/2=x, when y=0
Answers
(square of one term) + (square of another term) + (double the product of the two terms)
Let's look at the following trinomial.
X² - 14x + 49
(x - 7) (x - 7)
(x - 7)²
This trinomial would be classified as a perfect square trinomial because it factors as two identical binomials which is (x - 7)². This means that any trinomial that factors as two identical binomials is called a perfect square trinomial.