Answer:
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
Answer: see attached graph
<u>Step-by-step explanation:</u>
Choose values for t and plug them into the x equation and y equation to find the x,y coordinates.
Usually there is an interval provided. Since you did not specify an interval, I chose to use [-2, 2].
Let the first integer be 
. So, the next even number is 
Let's translate the formula: the square of the second is 
, twice the first is 
. So, the equation is
Expand the square to get
The solutions to this equations are
So, the possible consecutive even numbers are
The simplified expression is 7x+20
