Plz help me with this question

The equation that models the population growth is y = 90,000(1.02)^x

Step-by-step explanation:

The formula of the exponential growth is y = a , where

Let us solve the question

∵ At x = 0, the population y = 90,000

→ That means the initial value is 90,000

∴ a = 90,000

→ Substitute it in the form of the equation above

∴ y = 90,000

→ To find b use any values from the table to substitute x and y

∵ At x = 1, y = 91,800

∵ 91,800 = 90,000

∴ 91,800 = 90,000 b

→ Divide both sides by 90,000

∵ =

∴ 1.02 = b

→ Substitute it in the equation above

∵ y = 90,000

∴ The equation that models the population growth is y = 90,000(1.02)^x

answer: options?

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1