Question

if someone can just step by step help me that would be great...
The number of farms in a certain area can be represented by the equation, y = 85,000(0.95)x, where x represents the number of years after 1990. What was the number of farms in 1990 (x = 0)?

A. 95,000 farms
B. 85,000 farms
C. 80,750 farms
D. 100,000 farms

Answer 1

Is this:
\[85000(0.95^x) \]
?

Answer 2

im not sure that is exactly how its written on my test

Answer 3

The way you wrote it or the way I wrote it?

Answer 4

oh wait the way u wrote it was the right way sorry

Answer 5

Ok, so put 0 in for x. What is anything to the 0 power?

Answer 6

1

Answer 7

Then 85000 * 1.

Answer 8

wow that easy?

Answer 9

That easy.

Answer 10

thanks

Answer 11

y= 85,000(0.95)^x

if the exponent is 0, the number equals to 1.

so for the year of 1990, (x=0), which in our equation, becomes (along with its number) 1.

y=85,000(1)
y=85,000

Answer 12

thanks @monokerous

Answer 13

You're welcome.