Respuesta :
Answer: 71 people per year
Step-by-step explanation:
8210 - 7500 = 710
710 ÷ 10 = 71.
Rate of growth in people per year for those 10 years = 71 people per year.
The equation is y = 7500 × (1.00908)ˣ. Then the rate of growth in people per year for those 10 years is 1.00908.
What is an exponent?
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
A town's population grew from 7500 people to 8210 over the span of 10 years.
We know that the equation is given as
[tex]\rm y = ab^x[/tex]
We have
y = 8210
a = 7500
x = 10
Then the value of b will be
[tex]\begin{aligned} \rm 8210 = \rm 7500\times b^{10}\\\\\rm b^{10} = 1.09467 \\\\\rm b = \sqrt[10]{1.09467}\\\\\rm b =1.00908\end{aligned}[/tex]
Then the rate of growth in people per year for those 10 years is 1.00908.
More about the exponent link is given below.
https://brainly.com/question/5497425
