Answer:
The product of 0.8 and a number is 12, so the equation representing this statement is: 0.8 * x = 12.
To solve this equation, we need to find the value of x that makes the equation true. We can do this by using the replacement set {0, 8, 1, 7, 15}.
If we substitute 0 for x in the equation, we get: 0.8 * 0 = 12. This equation is not true, so 0 is not a solution.
If we substitute 8 for x in the equation, we get: 0.8 * 8 = 12. This equation is not true, so 8 is not a solution.
If we substitute 1 for x in the equation, we get: 0.8 * 1 = 12. This equation is not true, so 1 is not a solution.
If we substitute 7 for x in the equation, we get: 0.8 * 7 = 12. This equation is not true, so 7 is not a solution.
Finally, if we substitute 15 for x in the equation, we get: 0.8 * 15 = 12. This equation is true, so 15 is a solution.
Therefore, the solution set for this equation is {15}.