Question

Check my answer?

The number of subscribers y to a newspaper after t years is shown by the equation below.

y = 75(0.95)^t

Which conclusion is correct about the number of subscribers to the newspaper?

It increased by 75% every year.

It decreased by 75% every year.

It increased by 5% every year.

It decreased by 5% every year.

It's D right?

Answer 1

Hmmmm..... what subject is this?

Answer 2

It's supposed to be y=75(0.95)^t

Answer 3

It's Algebra

Answer 4

Ah, so it's \[y=75(0.95)^t\]then?

Answer 5

yes

Answer 6

I'm pretty sure it's D i just want to make sure

Answer 7

This should be explicitly asked, @Lena772
is it:

y = 75(0.95)t

or

y = 75(0.95)^t

Answer 8

I said it was 75(0.95)^t

Answer 9

Not in the question, no you didn't.

Answer 10

... ok.

Answer 11

You are right, lena.

Answer 12

Then yes, you're right @Lena772

Since if you plug in 0 for t, it's 1 for the (.95) part, so it'll be just itself.
plug in 1 and you get that it's now .95 of the original, which is smaller.
plug in 2 and you get .95 of what you plugged in for 1, since it's twice.

So you can see that it's really decreasing by 5% each time.

Answer 13

Thanks @agent0smith

Answer 14

Thanks @Kainui and @kittiwitti1

Answer 15

So you might want to correct that....
and according to my graphing calculator it's right.

Answer 16

I'm down here lol /waves

Answer 17

You don't need to graph it, or plug in any numbers

The "base" (it has the exponent attached), which is 0.95 in this case, subtract 1 from it to find out the decimal growth. Then convert to a percentage.

Answer 18

eg \[\Large P = 1000(0.08)^t\]what would be the growth rate?

or \[\Large A = 20(1.09)^t\]what about that one?