Math Review of Exponents Day 5 Solution

University:
University of North Georgia
Course:
MATH 1113 | Precalculus
Academic year:

2021
Views:

470

Pages:

4
Author:

Nabila N.

Review of Exponents [Day 5] Name: Exponential Function: y = ab^x Exponential Growth: b > 1 exponential growth graph Domain: (-∞, ∞) Range: (0, ∞) Exponential Decay: 0 < b < 1 exponential decay graph Domain: (-∞, ∞) Range: (0, ∞) 1. Complete the table below. The cost of each item grows exponentially. Item Annual Rate of Increase Cost Now Cost in 10 years Cost in 20 years a. Airplane Ticket 15% $300 300(1.15)^10 300(1.15)^20 b. Jar of Mustard 7% $1 1(1.07)^10 1(1.07)^20 c. College Tuition 10% $12000 12000(1.10)^10 12000(1.10)^20 2. Complete the table below. The value of each item decays exponentially. Item Annual Rate of Decrease Cost Now Value in 3 years Value in 6 years a. Farm Tractor 25% $65000 65000(0.75)^3 65000(0.75)^6 b. Value of the Dollar 6% $1 1(0.94)^3 1(0.94)^6 c. Value of the Dollar 8% $1 1(0.92)^3 1(0.92)^6 3. The value of a car in dollars t years from now is V(t) = 12500(0.85)^t. a. What is the annual rate of depreciation (the rate at which the car loses value)? 1-r = 0.85 r = 0.15 = 15% b. In how many years will the value of the car be approximately half what it is now? Test values for t: t ≈ 4 years 4. The value of a car in dollars t years from now is V(t) = 4000(0.85)^t. a. What is the annual rate of depreciation (the rate at which the car loses value)? 1-r = 0.85 r = 0.15 = 15% b. In how many years will the value of the car be approximately half what it is now? Test values for t: t ≈ 4 years