Final answer:
The equation to determine how many movies Fern watched is D)10.99 + 4.25x = 61.99. To solve for x, subtract 10.99 from both sides, simplify, and then divide by 4.25. The answer is approximately 12, which means Fern watched approximately 12 movies.
Step-by-step explanation:
To determine how many movies Fern watched, we can set up an equation. Let x represent the number of movies Fern watched. The total cost of the pass and movie tickets is $61.99. The cost of the pass is $10.99 and each movie ticket costs $4.25. So, the equation can be written as:
10.99 + 4.25x = 61.99
To solve for x, we need to isolate the variable x. First, subtract 10.99 from both sides of the equation:
4.25x = 61.99 - 10.99
Now, simplify:
4.25x = 51
Finally, divide both sides of the equation by 4.25 to solve for x:
x = 51 ÷ 4.25
Using a calculator, we find that x is approximately 12. So Fern watched approximately 12 movies. Therefore, the correct equation is 10.99 + 4.25x = 61.99