Question

The price of Stock A at 9 A.M. was ​$14.65. Since​ then, the price has been increasing at the rate of ​$0.13 each hour. At noon the price of Stock B was ​$15.40. 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?

Answer 1

three hours

Explanation:

stock A would be at 14.65+0.13+0.13+0.13=15.04

stock B would be at 15.40-0.12-0.12-0.12=15.04

Answer 2

The prices of the two stocks will be the same in 1.56 hours.

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

After noon:

Noon is 3 hours after 9 AM, so

So in x hours after noon, the value is given by:

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

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

This is x for which:

The prices of the two stocks will be the same in 1.56 hours.

Explanation:

Hope this helps:)