Explain the difference between the average rate of change of y as x changes from a to b, and the instantaneous rate of change of y at x = a.Choose the correct answer below.f(b) – f(a)O A.The instantaneous rate of change of y at x= a can be found by using the formulawhere y = f(x). The average rate of change of y as xb-achanges from a to bis found by taking the limit as b approaches a of the stated formula.f(b) + f(a)OB.where y = f(x). The instantaneous rate of change ofThe average rate of change of y as x changes from a to b can be found using the formulab+ay at x = a is found by taking the limit as b approaches a of the stated formula.f(b) + f(a)OC.The instantaneous rate of change of y at x= a can be found using the formulawhere y = f(x). The average rate of change of y as x changesb+afrom a to b is found by taking the limit as b approaches a of the stated formula.OD.f(b)- f(a)The average rate of change of y as x changes from a to b can be found by using the formulawhere y = f(x). The instantaneous rate ofb- achange of y at x=a is found by taking the limit as b approaches a of the stated formula. If $1300 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is A(t) = 1300(1.03).a. Find the average rate of change per year of the total amount in the account for the first five years of the investment (from t= 0 to t=5).b. Find the average rate of change per year of the total amount in the account for the second five years of the investment (from t=5 to t= 10).c. Estimate the instantaneous rate of change for t= 5.a. Which of the following is the correct formula for finding the average rate of change fromt=a to t= b?A(0) - A(5)O A.О в.A(5)5A(0)A(5)A(0)A(5) - A(0)O D.The average rate of change per year of the total amount in the account for the first five years of the investment (from t=0 to t= 5) is $ per year.(Round to the nearest cent as needed.)b. The average rate of change per year of the total amount in the account for the second five years of the investment (fromt=5 to t= 10) is $(Round to the nearest cent as needed.)per year.c. The instantaneous rate of change for t= 5 is about $(Do not round until the final answer. Then round to the nearest cent as needed.)per year.

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