The figure has a tangent line drawn at a labeled point. C(t ) thousand chips I I (1.95 . 7.7 ),' 8 6 1' I, I, 4 I " WebAssign IPlot thours 0.5 1.0 1.5 2.0 2.5 3.0 (a) Estimate a second point on the tangent line. (Round your answer to two decimal places.) (t,c)=( 13.5 J ) (b) Calculate the rate of change of the function at the labeled point. (Round your answer to one decimal place.) \\J/ thousand chips per hour (c) Calculate the percentage rate of change of the function at the labeled point. (Round your answer to three decimal places.) X % per hour The effect of temperature on the percentage of a certain type of insects' eggs from West Australia that hatch is shown below. 'F 5 10 15 20 25 30 (a) Locate the point at which the largest percentage of eggs hatches. Label it M. (Round your answer to three decimal places.) M=(64 J ) (b) Estimate the location of the inflection point. Label it 1'. (Round your answer to three decimal places.) r:( 952 ) V (c) Draw tangent lines at 5C as well as at points M and I. E! 'i O S 10 15 20 25 30 O S 10 15 20 25 3!] (cl) Estimate the slope of the graph and the percentage rate of change at point I. Interpret these answers in context. (Round your answer to two decimal places.) At point I, the percent of West Australian insect eggs that hatch is by x percentage points per C