Answer:
y = -0.08x + 64,000
Explanation:
Assuming a linear relationship between number of ants remaining and hours, this problem uses slope intercept form (y=mx+b) where m is the slope and b is the y-intercept.
The slope for this problem (m) is the rate, -8% which is -0.08
The y-intercept can be solved for by rearranging the slope intercept equation to solve for b: b=y-mx
The specific y-intercept can be found by substituting in y=64,000 ants at x=0 hours: b=64,000 - (-0.08×0) = 64,000 - 0 = 64,000
The slope intercept equation for this problem is now y = -0.08x + 64,000