Question

E Question Help

Challenge The price of Stock A at 9 AM was $16.09. Since then, the price has been increasing at
the rate of $0.12 each hour. At noon the price of Stock B was $16.84. It begins to decrease at the
rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two
stocks be the same?

in about ___ hours the prices of the two stocks will be the same?

Answer 1

Your answer will be A

Answer 2

If only it were that easy. After 1.44 hours, the price of the two stocks will be the same, 16.62.

Explanation:

Let t be the time (in hours) after noon.

Stock(A) = 16.09 + 0.12 (t +3)

Stock(B) = 16.84 - 0.15t

Stock(A) = Stock(B)

16.09 + 0.12 (t+3) = 16.84 - 0.15t

16.09 + 0.12t + 0.36 = 16.84 - 0.15t

0.27t = 0.39

t=1.44 hours