Solve.The following data show the relationship between the radius of a sphere and the volume of that sphere. 
a.Plot the ordered pairs (x, y) on a graph and connect the points with straight lines.b. Compute and interpret the average rate of change in volume between radii of 2 and 5feet.c. Compute and interpret the average rate of change in volume between radii of 10 and 12 feet.d. Based upon the results to parts a, b, and c, do you think that the volume of the sphere is linearly related to the radius? Why?
What will be an ideal response?
a.
b. 163.4 cubic feet per foot. Between radii of 2 and 5 feet, the volume of a sphere increases at a rate of 163.4 cubic feet per foot.
c. 1524.7 cubic feet per foot. Between radii of 10 and 12 feet, the volume of a sphere increases at a rate of 1524.7 cubic feet per foot.
d. No. The average rate of change (slope) is not constant.
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