contestada

URGENTTTT!!!! some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation y=1000(1.08)^x, use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. show your work.

Respuesta :

dionissenjo16

Answer:

Step-by-step explanation:

In the equation [tex]y = 1000(1.08)^x[/tex]  x represents the years, so for 5 years for example, you would plug in 5 for x. For 60 months, which is equal to 5 years, you would have to put 5 in the exponent by dividing x by 12 months of the year, so the equation would be:

[tex]y=1000(1.08)^{x/12}[/tex]

Plugging in 12 months for x, we get:

y = 1000(1.08)^1

Plugging in 6 months for x, we get:

y = 1000(1.08)^1/2

y = 1000([tex]\sqrt{1.08}[/tex])

This equation works:

Solution: [tex]y=1000(1.08)^{x/12}[/tex]

Q&A Education