1. say whether the quantity is changing in a linear or exponential fashion and why: a. a virus...

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1. Say whether the quantity is 1. Say whether the quantity is changing in a changing in a linear or exponential fashion linear or exponential fashion and why and why : : a. A virus multiplies at a rate of 200% a. A virus multiplies at a rate of 200% every 10 minutes every 10 minutes b. The building increases at a rate of 10 b. The building increases at a rate of 10 feet for every floor feet for every floor 2. 2. Identify Identify is the is the y-intercept, the constant y-intercept, the constant multiplication factor, and the growth rate multiplication factor, and the growth rate for the following exponential functions: for the following exponential functions: a. a. f(x) = 3 f(x) = 3 (2) (2) x b. b. C(t) C(t) = 12(1.5) = 12(1.5) t c. g(h) = 2500(1 + .075) Pre-Calculus Gallery Walk Pre-Calculus Gallery Walk STATION 1 STATION 1

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Page 1: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1. Say whether the quantity is 1. Say whether the quantity is changing in a linear or exponential changing in a linear or exponential fashionfashion and whyand why::

a. A virus multiplies at a rate of 200% every 10 minutesa. A virus multiplies at a rate of 200% every 10 minutes

b. The building increases at a rate of 10 feet for every floorb. The building increases at a rate of 10 feet for every floor

2. 2. IdentifyIdentify is the is the y-intercept, the constant multiplication factor, y-intercept, the constant multiplication factor, and the growth rateand the growth rate for the following exponential functions: for the following exponential functions: a. a. f(x) = 3 f(x) = 3 ∙∙ (2) (2)xx

b. b. C(t)C(t) = 12(1.5) = 12(1.5)tt

c. c. g(h) = g(h) = 2500(1 + .075)2500(1 + .075)hh

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 1STATION 1

Page 2: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1. 1. Situation:Situation: Terri saved up some money from her Terri saved up some money from her summer job and has $1,500 to invest. She is summer job and has $1,500 to invest. She is deciding between three investment offers. Which deciding between three investment offers. Which one should she choose? one should she choose?

Investment Offer A Investment Offer B Investment Offer C

She will receive her principal, plus 13% simple annual interest for 10 years.

She will receive her principal, plus a 10% annual interest rate, for 10 years, compounded annually

She will receive her principal, plus a 9% annual interest rate, for 10 years, compounded semi-annually

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 2STATION 2

Page 3: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1.1. Find the Annual Percentage Yield (APY), given the following Find the Annual Percentage Yield (APY), given the following Annual Percentage Rate (APR) information:Annual Percentage Rate (APR) information:

a.a. APR is 8% and interest is compounded semi-annuallyAPR is 8% and interest is compounded semi-annually

b.b. APR is 6% and interest is compounded quarterlyAPR is 6% and interest is compounded quarterly

c.c. APR is 18% and interest is compounded monthlyAPR is 18% and interest is compounded monthly

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 3STATION 3

Page 4: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1. 1. IdentifyIdentify is the is the y-intercept, the constant y-intercept, the constant multiplication factor, and the growth ratemultiplication factor, and the growth rate for for the following exponential functionsthe following exponential functions

a. a. f(x) = 2f(x) = 2xx

b. b. f(x) = (0.75)f(x) = (0.75)xx

c. c. f(x) = 4 ● 2f(x) = 4 ● 2xx

d. d. f(x) = 3(1.5)f(x) = 3(1.5)xx

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 4STATION 4

Page 5: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1.1. The future value of an investment at the end of 12 years is The future value of an investment at the end of 12 years is $24,000. What is the initial investment if you earned 10% $24,000. What is the initial investment if you earned 10% interest, compounded annually?interest, compounded annually?

2.2. The future value of an investment at the end of 5 years is The future value of an investment at the end of 5 years is $10,000. What is the initial investment if you earned 5% $10,000. What is the initial investment if you earned 5% interest, compounded semi-annually?interest, compounded semi-annually?

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 5STATION 5

Page 6: 1. Say whether the quantity is changing in a linear or exponential fashion and why: a. A virus multiplies at a rate of 200% every 10 minutes b. The building

1. 1. Situation:Situation: LaShawn saved up some money from LaShawn saved up some money from her summer job and has $3,500 to invest. She is her summer job and has $3,500 to invest. She is deciding between three investment offers. Which deciding between three investment offers. Which one should she choose? one should she choose?

Investment Offer A Investment Offer B Investment Offer C

She will receive her principal, plus 15% simple annual interest for 10 years.

She will receive her principal, plus a 11% annual interest rate, for 10 years, compounded annually

She will receive her principal, plus a 10% annual interest rate, for 10 years, compounded semi-annually

Pre-Calculus Gallery WalkPre-Calculus Gallery WalkSTATION 6STATION 6