A town has a population of 1.239 x 10' and shrinks at a rate of 9.4% every year.Which equation represents the town's population after 7 years?Submit AnswerO P = (1.239 x 105)(1 – 0.094)?OP= (1.239 x 10")(1+0.094)7O P = (1.239 x 10")(1.094)?O P = (1.239 x 105)(0.06)?

A town has a population of 1239 x 10 and shrinks at a rate of 94 every yearWhich equation represents the towns population after 7 yearsSubmit AnswerO P 1239 x 1 class=

Respuesta :

ANSWER:

[tex]P=(1.239\operatorname{\times}10^5)(1-0.094)^7[/tex]

STEP-BY-STEP EXPLANATION:

An exponential equation has the following general form:

[tex]y=A\cdot(1\pm r)^x[/tex]

Where A is the initial value and r is the rate of change.

In this case the value is 1.239 x 10^5 and r is equal to -9.4%, also x is equal to 7, since it is 7 years later.

Therefore, the equation would be:

[tex]\begin{gathered} P=(1.239\times10^5)(1-9.4\operatorname{\%})^7 \\ \\ P=(1.239\times10^5)(1-0.094)^7 \end{gathered}[/tex]

Therefore, the correct answer is the 1st option.