A quantity P is an exponential function of time t, such that P_0 a^4 = 45 and P_

Question

A quantity P is an exponential function of time t, such that P_0 a^4 = 45 and P_0 a^3 = 50. Use the given information about the function P = P_0 a^tau to: (a) Find values for the parameters a and P_0. Round your answer for P_0 to three decimal places. Enter the exact answer for a. (b) State the initial quantity and the percent rate of growth or decay. Round your answer for the initial quantity to three decimal places. Enter the exact answer for the percent growth or decay rate. The initial quantity is and the quantity is at a rate of per unit time.

Explanation / Answer

From the given question,

P0a4=45

P0a3=50

dividing both equations,

a=0.9

P0a3=50

P0(0.9)3=50

P0=6.859

b) P =P0 at

initial quantity, when t=0

P =P0 a0

P =P0 =6.859

a=0.9

a=1+r

0.9=1+r

r=-0.1

rate %= -10%

since r<1, it is decay rate.
Initial quantity is 6.859 and the decay rate is 10% per unit time.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.