Meet of lines: y = 3x − 2 and y = -2x + 3?
y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.
y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and D.
The point D(1,1) is the intersection of the lines. Let's check that algebraically:
3x-2=3(1)-2=1=y, good
-2x+3 = -2(1)+3=1=y, good
Answer: D
T=95
solve for t by simplifying both sides of the equation then isolating the variable
This is question of geometric sequence, equation of growth for this matter. The explicit formula for geometric sequence is given by:
a(n) = a(0)r^(n-1)
where;
a(n) = population after time "n"
a(0) = Initial population = 65
n = time = 5 weeks
r = common ratio = (100+30)% = 1.3
Substituting, beetles after 5 weeks will be;
a(5) = 65*1.3^(5-1) = 185.65 ≈ 186 beetles
