Answer:
Part 1) The rate of change is 
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model
we have
substitute
Answer:
<h2>(0,1) and (2,5).</h2>
Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression
From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>
Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>
Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
Answer:
Option D.
3 equations with 3 variables
Step-by-step explanation:
The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.
If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system.
Therefore the correct answer is option D.
3 equations with 3 variables
Answer:
60
Step-by-step explanation:
calculated it with scientific calculator
