few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response, in json format:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Write and interpret numerical expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Perform arithmetic operations on polynomials.

Understand the relationship between zeros and factors of polynomials.

Work with equal groups of objects to gain foundations for multiplication.

Rewrite rational expressions.

Solve systems of equations.

Gain familiarity with factors and multiples.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Generate and analyze patterns.

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze patterns and relationships.

Represent and solve equations and inequalities graphically.

Interpret the structure of expressions.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Understand properties of multiplication and the relationship between multiplication and division.

Reason about and solve one-variable equations and inequalities.

Understand the connections between proportional relationships, lines, and linear equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Multiply and divide within 100.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Work with addition and subtraction equations.

Understand and apply properties of operations and the relationship between addition and subtraction.

Write expressions in equivalent forms to solve problems.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Represent and solve problems involving addition and subtraction.

Solve equations and inequalities in one variable.

Understand solving equations as a process of reasoning and explain the reasoning.
problem_activity: A new movie is being released and it is expected to be a blockbuster. Use the information below to predict how much money the movie will make in ticket prices over the opening weekend.
The average movie ticket price in the country is $9.
There are approximately
$${4\times10^4}$$
movie screens in the country.
The movie will be playing on 30% of the screens in the country on opening weekend.
For each screen, there is an average of 250 seats, and it is expected that each showing will be sold out.
There are 8 showings per screen over the opening weekend.
Write your answer in scientific notation and standard form.


correct_option_index: 20