Answer:
Step-by-step explanation:
U find the slope of the two points, and that is the rate of change. the slope equation is y2-y1/x2-x1 ,, so for example, if you have the points (3,1) and (4,6) the equation you would do is 6-1/4-3 , which is equal to 5/1 (aka 5) , therefore the rate of change (and slope) is 5
Answer:
In 2050 fish population is 27000
Step-by-step explanation:
Exponential change can be modeled by,
Where 
is the initial value of 750, 
is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and 
is the number of time periods.
The rate of change in percentage is 8.3%
That means, after 1 year fish will become 108.3 for 100 fish.
Then 
Difference of years is, 
Then, 
So, the fish population in 2050 is 27000
Answer:
x = 13.5 weeks
Step-by-step explanation:
Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.
189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.
Answer:
It is because not all sides of a rectangle are equal in length; unlike a square.
Step-by-step explanation:
Let's start by drawing the first diagonal.
You know already how a rectangle looks. It has 4 sides and 2 sets of parallel sides. Each pair of parallel sides has the same length.
A diagonal is a line crossing from one edge of a four-sided shape to the opposite edge; such that it divides the shape into two equal halves.
Now place your rectangle horizontally. Let the two longer sides be on the horizon while the two shorter sides go vertical.
We draw the first diagonal from the edge on the top right to the opposite edge (down left). This will divide the shape into two equal halves and each half will be a triangle; a congruent one at that.
When you fold this rectangle along its diagonal, the two triangles will not overlap! The resulting shape will be like two triangular mountains lying side by side. You can use a paper (cut in the shape of a rectangle) for this experiment.
Why does this happen, instead of the two triangles covering each other (overlapping)?
This happens because a rectangle doesn't have 4 equal sides. Check out a square and you'll see that both triangles will overlap after a diagonal is drawn across the square.
Draw the second diagonal of the rectangle (from up-left to down-right) and the same thing is observed.
