<u>Answer:</u>
Option D is the correct answer.
D. This is a linear function because there is a common difference of 2.
<u>Step-by-step explanation:</u>
Linear function--
A function is said to be linear if the rate of change is constant.
i.e. the function is increasing by a fixed constant.
Here the table is given by:
Hour (x) Number of Customers f(x)
1 2
2 4
3 6
From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.
i.e. the rate of change is constant i.e. 2.
Also, the common difference is 2.
Since,
4 - 2 = 2
and
6 - 4 = 2
Hence, the table represents a linear function.
Answer:
Slope = 3
Step-by-step explanation:
It is a negative slope because the line is going down.
Slope = Rise/Run
Slope = 3/1 or 3
4/5 .......................................
Answer:
<h2>
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
First of all to find the equation of the line we must first find the slope.
The slope of the line using points
(0,-2) (8,-4) is
<h3>
</h3>
Now using one of the points and the slope we can find the equation of the line.
Equation of the line using point (0 , - 2) and slope - 1/4 is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
9514 1404 393
Answer:
A. (3, 3)
Step-by-step explanation:
The coefficients of y are opposites, so adding the two equations will eliminate y.
(x +2y) +(3x -2y) = (9) +(3)
4x = 12 . . . simplify
x = 3 . . . . . divide by 4
Using the first equation, we can find y:
3 +2y = 9 . . . . . .substitute for x
2y = 6 . . . . . . . . subtract 3
y = 3 . . . . . . . . . . divide by 2
The solution is (x, y) = (3, 3).
_____
<em>Additional comment</em>
For this problem, it is easy to just try the answers. You don't have to go far to show the first answer (A) satisfies both equations.
3 + 2(3) = 9; 3(3) -2(3) = 3