Final answer:
The correct equation representing the statement 'The quotient of a number and 17 is 118.82' is 'x/17 = 118.82' solved by applying the multiplication property of equality to find x = 2019.94.
Step-by-step explanation:
The equation that represents the statement 'The quotient of a number and 17 is 118.82' can be solved with the division property of equality. The question given to us is a basic algebra problem. The statement that the quotient of a number and 17 is 118.82 represents the division of some number by 17. Using the division property of equality, we can write this as an equation: x/17 = 118.82. This can also be solved using the multiplication property of equality by multiplying both sides by 17 to isolate the variable x, leading to the equation 17(x/17) = 17×118.82 which simplifies to x = 2019.94.