The x-intercept represents that after 10 in. of rain, there are mosquitoes in that area.
How to Interpret Quadratic Equations?
The function is quadratic. The standard form of the quadratic equation is;
f(x) = ax² + bx + c
Here (a, b, c) are the real numbers and (x) is the variable. For the first point (0,0). The equation becomes,
f(0) = a(0)² + b(0) + c
c = 0
For the second point (1,9). The equation becomes,
f(1) = a(1)² + b(1) + 0
9 = a + b ----(1)
For the third point (3, 21). The equation becomes,
f(3) = a(3)² + b(3) + 0
21 = 9a + 3b ----(2)
Solving eq 1 and eq 2 simultaneously gives;
a = -1 and b = 10
Thus, our quadratic equation is;
f(x) = -x² + 10x
At f(x) = 0, x = 10.
Thus, x-intercept is at x = 10
Read more about Quadratic Equations at;https://brainly.com/question/1214333
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