Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula, 
. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:
Thus, the slope is 
.
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or 
format. Substitute the 
and 
for real values.
The represents the slope of the equation, so substitute it for . The represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:
Given the equation A (x) = 30 x 8.3 ^x, we can get the
initial amount of A when x is equal to zero. Therefore:
A (0) = 30 * 8.3^0
A (0) = 30
In this case the equation grows by 8.3 times as x increases.
Therefore the growth factor is 8.3.
Answers:
initial amount = 30
growth factor = 8.3
The answers are not in the given choices. I believe you are
giving the wrong equation. If the correct equation here is:
A (x) = 680 x 4.3 ^x
Then the answers are:
initial amount = 680
growth factor = 4.3
The answers are now in the choices given.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
