Question

10.

Define an operation ★ on the set of real numbers as follows:


a ★ b = 0.5ab

If 0.1 ★ b = 10, then evaluate bb.


a. 500


b. 200


c. 20


d. 50

Please explain how you got your answer.

Answer 1

If a ★ b = 0.5ab, then

0.1 ★ b = 0.5 (0.1) b = 0.05b = 10

==> b = 10/0.05 = 200