Question

Challenge The price of Stock A at 9 A.M. was ​$12.52. Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon the price of Stock B was ​$13.02. It begins to decrease at the rate of ​$0.14 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same

Answer 1

0.68 hours

Explanation:

Noon is 12:00 P.M., which is 3 hours after 9 A.M., 3*0.11=0.33, so we will add $0.33 to $12.52, getting $12.85.

We will use these steps to get an equation:
1. 12.85 - stock A at 12:00.

2. x - # of hours

3. x(0.11) - the amount of money gained in x hours

4. 12.85+x(0.11) - stock price after x hours

5. 13.02 - stock B at 12:00

6. x - # of hours (this will be the same as we are looking for the amount of time it will take for them to be equal, making this also equal.

7. x(-0.14) - the amount of money Decreased in x hours, which is why it is -0.14

8. 13.02+x(-0.14) - stock price after x hours
9. 12.85+x(0.11)=13.02+x(-0.14) - the final equation after combining them

Solving the equation gives the answer of 0.68 hours