The population of a town has approximately doubled every 17 years since 1950. if the equation p=po2k, where po is the population of the town in 1950, is used to model the population, p, of the town t years after 1950, what is the value of k?

The population of a town has approximately doubled every 17 years since 1950.

the equation P= where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

   P=2      

for 1 year

The equation becomes

P =                               -------------(1)

Our original equation is

----------------------------------(2)

equating expression 1  and 2

Cancelling  from both sides  we get

t/17=k

⇒k=t/17 is the solution.

answer: c is correct, a regular pentagon

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1