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