Help me please for points
1 answer:
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Answer:
Step-by-step explanation:
the general equation for a line is:
where is the slope of the line, and
is the y-intercept.
Since we need a slope of -2/3:
,
So far we have that the line must have the equation:
the graph of a line with a negative slope is one that "falls" from left to right in the plane. And the number means that it falls at a ratio of 2 units in the y-axis for every 3 in the x-axis.
we are told that the y-intercept is that of the line:
--> here the y-intercept is -2.
Thus the equation of the line we are looking for is:
which means that this line crosses the y-axis at -2, and the graph is the one in the attached image.
<u>Answer</u>:
The required is the multiplicative rate of change.
The correct answer is the second option<u> 2.5</u>
<u>Step-by-step explanation:</u>
The given function has the form of the exponential function
The general equation of the exponential function
Wher c is constant and r is the multiplicative rate of change.
Using the given points to get the values of c and r
By using the point (0,2) ⇒∴ ⇒ c = 2
By using the point (1,5) ⇒∴ ⇒ r = 5/2 = 2.5
Check the answer using the other points
If x = 2 ⇒⇒⇒
If x = -1 ⇒⇒⇒ y=2 * 2.5^(-1) = 0.8
<u>So, the multiplicative rate of change = 2.5</u>