Question

***FAN AND MEDAL*** (for the correct answer)

Answer 1

Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years:


Number of years 1 2 3
Option 1 (amount in dollars) 1100 1210 1331
Option 2 (amount in dollars) 1100 1200 1300

Answer 2

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points)

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points)

Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option. (4 points)

Answer 3

@amoodarya @Michele_Laino @pinkbubbles help guys!!!

Answer 4

no ;/

Answer 5

Part A.
Option 1 is an arithmetic or linear progression. The investment increases by $300 /year
Option 2 is a geometric or exponential progression. The investment increases by 12% /year

Part B.
Option 1: f(n) = 1000 + 300n
Option 2: f(n) = 1000 * 1.12^n

Part C.
Substitute 20 for n in the above equations.
So Option 1 after 20 years gives 7000, and Option 2 after 20 years gives 9646.29
Belinda should choose Option 2

Answer 6

thats the correct answers?

Answer 7

yes

Answer 8

i want to make sure, because this its the second time i take this test

Answer 9

thank you so much @pinkbubbles i hope i get right

Answer 10

Welcome! Hope you get it correct too! c:

Answer 11

i finish now but can you check one question just told if im right/ please

Answer 12

sure

Answer 13

The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 72(1.25)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:

Answer 14

t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Answer 15

answer:
Part A: The price increases by 25% each year
Part B: Every year, product B is increasing in price by 30%

Answer 16

im right?

Answer 17

one second

Answer 18

ok

Answer 19

Part A: is decreasing by 0.37

Answer 20

part b i'm not so sure

Answer 21

@SolomonZelman

Answer 22

ITS fine i going to click finish my test

Answer 23

thank you for all you help

Answer 24

@Hero

Answer 25

@EmilyF03