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5. Biologists have observed that the chirping rate of crickets of a certain species appears to be related to temperature. The table shows the chirping

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5. Biologists have observed that the chirping rate of crickets of a certain species appears to be related to temperature. The table shows the chirping rates for various temperatures. (a) Make a scatter plot of the data. (b) Find and graph the straight line (linear model) through first and last data points. (c) Use the linear model in part (b) to estimate the chirping rate at 100 F. Temperature Chirping rate Temperature Chirping rate (F) (chirps/min) (OF) (chirps/min) 50 20 75 140 55 46 80 173 60 79 85 198 65 91 90 211 70 113 6. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 cm by 20 cm by cutting out equal squares of side at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. 20 X X X X 12 X X X X

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