The approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet is 0.125 foot per square foot
What is rate of change?
The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to coordinates of x can found out as
rate of change = [tex]\frac{Change in y}{Change in x} =\frac{(y2 - y1 )}{(x2 - x1 )}[/tex]
According to the question
The area increases from 3 square feet to 7 square feet
i.e, Change in x = 7-3
= 4 square feet
Between area increases from 3 square feet to 7 square feet radius changes form 1 to 1.5 feet
i.e, Change in y = 1.5 - 1
= 0.5 feet
As,
rate of change = [tex]\frac{Change in y}{Change in x} =\frac{(y2 - y1 )}{(x2 - x1 )}[/tex]
substituting the values
rate of change = [tex]\frac{0.5}{4}[/tex]
= 0.125 foot per square foot
Hence, the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet is 0.125 foot per square foot
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