1 / 15

WARM UP

WARM UP. 4. VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x 2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9. WARM UP. 3.

francis-mcneil
Download Presentation

WARM UP

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP 4 VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9

  2. WARM UP 3 VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9

  3. WARM UP 2 VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9

  4. WARM UP 1 VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9

  5. WARM UP 0 VARIABLE EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 1.3) 24 + x2 When x = 5 6x – 1 when x = 1 3 ∙ 15x when x = 2 1 – x/3 when x = 9

  6. 8.6 Exponential Growth Functions GOAL Write exponential growth functions. KEY WORDS Exponential growth Growth rate Growth factor

  7. 8.6 Exponential Growth Functions EXONENTIAL GROWTH A quantity is growing exponentially if it increases by the same percent r in each unit of time t. This is called exponential growth. Exponential growth can be modeled by the equation y = C(1 + r)t

  8. 8.6 Exponential Growth Functions EXONENTIAL GROWTH y = C(1 + r)t C is the initial amount (the amount before any growth occurs), r is the growth rate (as a decimal), t represents time, and both C and rare positive. The expression (1 + r) is called the growth factor.

  9. 8.6 Exponential Growth Functions EXAMPLE 1 Write an Exponential Growth Model CATFISH GROWTH A newly hatched channel catfish typically weighs about 0.006 gram. During the first six weeks of life, its weight increases by about 10% each day. Write a model for the weight of the catfish during the first six weeks.

  10. 8.6 Exponential Growth Functions EXAMPLE 1 Write an Exponential Growth Model SOLUTION Let y be the weight of the catfish during the first six weeks and let t be the number of days. The initial weight of the catfish C is 0.06. The growth rate is r is 10%, or 0.10. y= C(1 + r)t = 0.006(1 + 0.10)t = 0.006(1.1)t

  11. 8.5 Scientific Notation Checkpoint Write an Exponential Growth Model 1. A TV station’s local news program has 50,000 viewers. The managers of the station hope to increase the number of viewers by 2% per month. Write an exponential growth model to represent the number of viewers v in t months.

  12. 8.6 Exponential Growth Functions COMPOUND INTEREST Compound interest is interest paid on the principal P, the original amount deposited, and on the interest that has already been earned. Compound interest is a type of exponential growth, so you can use the exponential growth model to find the account balance A.

  13. 8.6 Exponential Growth Functions EXAMPLE 2Find the Balance in an Account COMPOUND INTEREST You deposit $500 in an account that pays %8 interest compounded yearly. What will the account balance be after 6 years?

  14. 8.6 Exponential Growth Functions EXAMPLE 1 Write an Exponential Growth Model SOLUTION The initial amount P is $500, the growth rate is %8, and the time is 6 years. A = P(1 + r)t = 500(1 + 0.08)t = 500(1.08)t = 793

  15. 8.5 Scientific Notation Checkpoint Write an Exponential Growth Model 2. You deposit $750 in an account that pays 6% interest compounded yearly. What is the balance in the account after 10 years?

More Related