## anonymous 5 years ago 10 points Save Suppose that a certain strain of pea plant requires 14 days to reach a height of 6 inches and 30 days to reach a height of 16 inches. What should the height of the plant be in 20 days i have 7 days to finish my online class PLEASE HELP SPMEONE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! (:

looks like an exponential growth problem $H _{t}=H _{0} e ^{kt}$ use initial values h=6 at t=0 to solve for k it takes 16 days to go from 6 to 16 inches $16 = 6e ^{16k}$ $k = \frac{\ln(8/3)}{16}$ now solve for h at t=6 $H _{6} = 6e ^{\frac{6\ln(8/3)}{16}}=8.67$