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Question

The fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees Celsius) is modeled by: p(x)=-2x^2+40x-72 Which temperatures will result in no fish (i.e. 000 population)? Enter the lower temperature first. Lower temperature: degrees Celsius Higher temperature: degrees Celsius

Answer 1

Hi Tyler,

 

This is a downward parabola with roots at x={2, 18}

If you factor -2x^2+40x-72, you should get 2 and 18 as the solution.

Any temperature less than or equal to 2 and greater than or equal to 18 will result in no fish population. 

x = (-∞, 2] ∩ [18, ∞)