Answer:
320,000 square units
Step-by-step explanation:
We have the formula for area A:
A = 1/2 × (x + y) x |y-x|
Now, considering the two cases for the absolute value term:
1. When 0 ≤ x ≤400:
A=1/2×800×(800-2x)
2. When 400 <x ≤800:
A= 1/2× 800×(2x-800)
Now, let's calculate the area in each case and sum them up:
A=1/2×800×(800-2x)+1/2×800×(2x-800)
Simplify the expression:
A=1/2×800×800=320,000
Therefore, the area between the graph and the coordinate axes is 320,000 square units.
