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