Question

math problem

Answer 1

@kittybasil

Answer 2

@florisalreadytaken

Answer 3

@kittybasil, can you do me a favor and finish this 4 me? thanks.

Answer 4

...I would do this but I literally have to sign off to go run errands for the day.
@smokeybrown or @darkknight should be able to help though

Answer 5

alright

Answer 6

...wait a second I think I can do this
Do you have any ideas before I start though?

Answer 7

500/4?

Answer 8

you have posted similar problems to this multiple times, its the same process

Answer 9

Okay so to find the variable \(b\) we need to replace the \(x\) and \(y\) variables with their respective values. So you can pick either of these coordinate pairs and input them into the function \(y=500(b)^x\)

Answer 10

y=600(4)^x

Answer 11

500*

Answer 12

Ah... no. We're looking for \(b\) so you need to replace the \(y\) with the y-value and the \(x\) with the x-value, respectively.

Close though! Good work so far.

Answer 13

im not sure what to do

Answer 14

4=500(b)^x

Answer 15

Close. What about the x-value though?

Answer 16

3?

Answer 17

Yep! So if we use the coordinate pair \((3,4)\) to input into the function it would end up like this:\[y=500(b)^x→4=500(b)^3\]Does this make sense so far?

Answer 18

yep

Answer 19

1/5

Answer 20

Okay, so we have to solve for \(b\) based on this - wait, you already got it? Dang that's fast

Answer 21

Let's work through it just in case.\[4=500(b)^3\]\[\frac{4}{500}=b^3\]\[\sqrt[3]{\frac{4}{500}}=b\text{, }\therefore b=\frac{1}{5}\]Nice job! You got it right. 🎉

Answer 22

thanks

Answer 23

oh btw. the little dots thing = "therefore"

Answer 24

Just tips for future use if you need it! Good work 🎊