Question

PLS HELP!!!
Suppose the population of a town is 9,800 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 7 years.

Answer 1

@Vocaloid

Answer 2

general formula for this is

(initial value)(1+growth rate)^(number of years)

since we want a general formula for any number of years we can replace "number of years" with a generic variable, say, t

(initial value)(1+growth rate)^(t)

plug in the initial value and growth rate into the equation. note: you will have to convert 2% to a decimal first

Answer 3

(9800)(1+0.02)(t)?

Answer 4

almost, don't forget to raise the number of years to an exponent

9800(1+0.02)^t

now you have the equation, when it says to predict the population after 7 years you just need to plug in t = 7 and report the result

Answer 5

11,257?

Answer 6

@Vocaloid the choices are:
y = 9,800 ∙ 2x; about 1,254,400 people


y = 9,800 ∙ 1.02x; about 11,257 people


y = 9,800 ∙ 2x; about 11,257 people


y = 2 ∙ 9,800x; about 137,200 people

Answer 7

good, 11257 is right

with that being said which one has the correct equation and population #?

Answer 8

still there?

Answer 9

the 3rd one?

Answer 10

3rd one has the incorrect equation, eliminating that choice we get choice 2 as the only one with the correct equation and correct population value