Final answer:
The expression 6 + 1 * (9 - 4) + 6 should be evaluated using the order of operations rule PEMDAS. First, solve the operation within the parentheses, then multiply, and finally add the remaining numbers together. The correct answer is 17.
Step-by-step explanation:
The question asks you to evaluate the expression: 6 + 1 * (9 - 4) + 6. In order to evaluate this expression, you need to follow the order of operations rule, which is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, solve the operation inside the parentheses: 9 - 4 equals 5. So the expression now looks like 6 + 1 * 5 + 6.
Next, perform the multiplication: 1 * 5 equals 5. Now the expression should look like 6 + 5 + 6.
Finally, add the remaining numbers together: 6 + 5 + 6 equals 17. So the answer is c) 17.
Learn more about Order of Operations