Answer: y = 2/3x + 3
Step-by-step explanation:
We will write the equation in slope intercept form (y=mx+b).
In the formula y=mx + b, m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.
1 = 2/3(-3) + b Solve for b
1= -6/3 + b
1 = -2 + b
+2 +2
b = 3
The equation will be y = 2/3x + 3
The previous population was 14000.
Explanation
The population decreased by 35% since the last measurement. So the current population is less than the previous population.
current population=9100
previous population =x
current population is 35% less than the previous population x
The previous population was 14000.
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
The slope is -9/7. I don’t have an explanation because I used an online calculator but that’s the answer in case you don’t have to show work.
