The price of Stock A at 9 A.M. was ​$12.51 Since​ then, the price has been increasing at the rate of ​$0.09 each hour. At noon the price of Stock B was ​$13.26 It begins to decrease at the rate of ​$0.12 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Respuesta :

By solving a linear equation, we conclude that after 3.57 hours, the prices of the two stocks are the same.

in how many hours will the prices of the two stocks be the​ same?

For stock A, the price started at $12.51 and it increased at a rate of $0.09 per hour. So after x hours, the price of stock A is:

A(x) = $12.51 + $0.09*x

For stock B, the price starts at $13.26 and it increases at a rate of $0.12 per hour, then the price after x hours is:

B(x) = $13.26 - $0.12*x

The price of the stocks is the same when:

A(x) = B(x), then we can solve the equation:

$12.51 + $0.09*x = $13.26 - $0.12*x

Now we can solve that linear equation for x:

$0.09*x + $0.12*x = $13.26 - $12.51 = $0.75

$0.21*x = $0.75

x = $0.75/$0.21 = 3.57

So, after 3.57 hours, the prices of the two stocks are the same.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1