Temperature and Volume The table shows the relationship between the temperature of a sample of helium and its volume.
Temperature (°C) | 0 | 25 | 50 | 75 | 100 |
Volume (in3) | 30 | 32.7 | 35.4 | 38.1 | 40.8 |
(a) Make a scatterplot of the data.
(b) Write a formula for a function f that receives the temperature x as input and outputs the volume y of the helium.
(c) Find the volume when the temperature is 65°C.
(d) Find the temperature if the volume is 25 cubic inches. Did your answer involve interpolation or extrapolation? Do you believe that your answer is accurate?
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