The speed of sound c, in meters per second, at a fixed depth and temperature in the ocean depends on the salinity S, in parts per thousand. The following table shows selected data. Round your answer to two decimal places, if necessary.
S 35 35.6 36.2 36.8 c 1515.36 1516.08 1516.8 1517.52?
A: Complete a table of changes to show that the data are linear.B: Find a linear model for the data.C: Explain in practical terms the meaning of the slope for the linear function in part B.
What will be an ideal response?
A
| Change in S | From 35 to 35.6 | From 35.6 to 36.2 | From 36.2 to 36.8 |
| Change in c | 0.72 | 0.72 | 0.72 |
?
B: 
C: Each increase of one part per thousand in salinity corresponds to an increase of 1.2 meters per second in the speed of sound.
Mathematics
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