A lake that is used for recreational swimming is treated periodically to control harmful bacteria growth. The concentration C (in bacteria per cubic centimeter) t days after a treatment is given in the table

(A) Find the interpolating polynomial for this table.

(B) Use the interpolating polynomial to approximate (to two decimal places) the number of days it will take for the bacteria concentration to reach its minimum level.

Transcribed Image Text:

t C(t) 0 450 2 190 4 90 6 150