Question

does the equation y=5x represent exponential growth or decay?

Answer 1

hint:

in general for equations in the form y = a*b^x, you will


a) have exponential decay if b < 1

OR

b) have exponential growth if b > 1

Answer 2

Another hint:

\[\large y = 5^x\]

is the same as

\[\large y = 1*5^x\]

Answer 3

So it would be decay?

Answer 4

what are the values of 'a' and b in this case?

Answer 5

y=5

Answer 6

I'll start you off

a = 1

b = ??

Answer 7

im not really sure.. ive never done this before. is it y=1*5^x

Answer 8

that's the more detailed equation

compare that to y = a*b^x

notice how a = 1

what does b equal?

Answer 9

5

Answer 10

so its growth?

Answer 11

b = 5

since 5 > 1, we know that b > 1

therefore, we have exponential growth

Answer 12

thank you!

Answer 13

you're welcome