Question

cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?

Answer 1

these are the answer choices:
1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years

3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years

4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Answer 2

x is the number of years, right?

so first, find f(x) when x = 3 and g(x) when x = 3

Answer 3

Alright I would plug those stuff into calculator

Answer 4

Set the x to be 3 years and 10 years and see if either of them turns out greater than the other.

Answer 5

yea
i got f(x)= 165
g(x)= 3,687

Answer 6

check g(x) again

Answer 7

g(x)=150(1.03)^x = 150(1.03)^3 = ?

Answer 8

163?

Answer 9

right, so which one is higher?

Answer 10

g(x)

Answer 11

For 3 years f(x)=5x+150=165 for the first one
g(x)=150(1.03)^3=163.90

Answer 12

no, please look at f(x) and g(x) again...

Answer 13

So f(x) is greater for the first 3 years am I wrong?

Answer 14

oh sorry f(x)

Answer 15

@Vocaloid

Answer 16

I was talking to Nicole, sorry for the confusion

Answer 17

yes, f(x) is greater for 3 years

now calculate f(x) and g(x) when x = 10

Answer 18

g(x) is greater

Answer 19

Yeah vocaloid would tell you to do
f(x)=5(10)+150=200
g(x)=150(1.03)^10=201.5

Answer 20

because i got 200 for f(x) and 201 for g(x)

Answer 21

Yeah it's so close

Answer 22

right, so our final answer is...?

Answer 23

a

Answer 24

yeah, good job ~

Answer 25

thanks

Answer 26

Make sure you give a medal to vocalic

Answer 27

@Vocaloid

Answer 28

do you think you can help me with a couple more questions? @Vocaloid