Answer:
the average rate of change is 4
Step-by-step explanation:
Answer:
The exponential Function is
.
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year = 
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;

The exponential Function is
.
Subtracting both side by 20 using subtraction property we get;

Now Dividing both side by 12 using Division property we get;

Hence Farmer will have 200 sheep after <u>15 years</u>.
Answer:

Step-by-step explanation:
Consider the options for this question are as follow,
Here, In triangles ABC and PQR,
AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,
Since,

We know that,
The corresponding sides of similar triangles are in same proportion,
Thus,




Hi there! The answer is A.

To get a proper idea of the type of function this formula represents we work out the parenthesis.
Working out the parenthesis can for instance be done using rainbow technique.

We can now see sinilarities between this function an the general function of a line in slope intercept form

The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
Answer:
Red line
Step-by-step explanation:
2y+x=0
2y=-x
y=-x/2
Put the equation into y=mx+b so you would need to subtract the x to put it on the right side so then you’ll have 2y=-x+0 then divide by 2 to get the y by itself then you’ll have y=-2x+0 that means the line would be negative and the y-intercept is 0 and the only line that follows that is the red line.