Final answer:
The question asks to write a problem involving a budget constraint and movie rentals, using the linear equation 10 + 1.50m = 14.50 to determine the number of movies rented. The problem is solved by isolating the variable and finding that Marie rented 3 movies within her budget.
Step-by-step explanation:
The problem concerns understanding and using a linear equation to determine the quantity of an item based on a budget constraint. Here is how you can frame the problem:Problem Statement: Marie enjoys renting movies every week but needs to stay within her budget. The base fee for movie rental membership is $10, and each movie costs $1.50 to rent. If Marie has spent a total of $14.50 on movie rentals this week, how many movies did she rent?To solve this, we set up the equation 10 + 1.50m = 14.50,
where m represents the number of movies rented. Subtract 10 from both sides to isolate the variable term, giving us 1.50m = 4.50. Finally, divide both sides by 1.50 to find that Marie rented 3 moviesTo solve the problem, we need to rewrite the given equation: 10 + 1.50m = 14.50. Subtracting 10 from both sides, we get 1.50m = 4.50. Then, dividing both sides by 1.50, we find that m = 3. Therefore, the number of movies rented, m, is 3.