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TODAY IN ALGEBRA 2.0…
REVIEW: Exponential Growth and Decay, Logs and Inverses of Logs
7.1-7.4 QUIZ – TODAY!
7.1 EXPONENTIAL GROWTHStarting salary for a college graduate with a bachelor’s degree is $42,000 per year with an average annual increase of 8%.
a. Write a function that models the salary for a college graduate with a bachelor’s degree over time t.
b. After 10 years how much would an average college graduate make?
𝑦=42,000(1+0.08)𝑡
7.1 EXPONENTIAL GROWTHYou deposit $4000 in an account that pays 2.92% annual interest. Find the balance after 2 years if the interest is compounded with the given frequency.
a. Quarterly:
b. Monthly:
EXPONENTIAL DECAYYou buy a new personal computer for $1600. It is estimated that the computer’s value will decrease by 13% each year.
a. Write a function that models the value of your computer over time t.
b. About how much would your computer be worth in 4 years?
𝑦=1600 (1−0.13)𝑡
REWRITE THE EQUATION IN EXPONENTIAL FORM.
1. 2.
3. 4.
𝟑𝟒=𝟖𝟏 𝟕𝟏=𝟕
𝟏𝟒𝟎=𝟏 (𝟏𝟐 )−𝟓
=𝟑𝟐
EVALUATE THE LOGARITHM. USE A CALCULATOR IF NECESSARY.
1. 2.
3. 4.
5. 6.
𝟒 𝟎
𝟏 𝟓
𝟎 .𝟔𝟑 −𝟎 .𝟔
SIMPLIFY THE EXPRESSION.
1. 2.
3. 4.
5. 6.
𝟒 𝟐 𝒙
𝟑 𝒙 𝟔𝟓
𝟔 𝒙
HOMEWORK #5:
Pg. 504: 28-36Pg. 1016: 21-24
If finished, work on other assignments:
HW #1: Pg. 483: 28-30, 37, 38 Pg. 543: 27, 28
HW #2: Pg. 489: 1, 26, 30, 31, 33HW #3: Exponential Growth and Decay WSHW #4: Pg. 503: 3, 4, 6, 8-12, 17-27