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A formula is a mathematical expression that relates two or more quantities.

Examples:
- [tex]P = 25T - 800[/tex] might give the profit from ticket sales, where [tex]\(P\)[/tex] is the profit and [tex]\(T\)[/tex] is the number of tickets sold.
- [tex]E = mc^2[/tex] (Einstein's theory of relativity) relates energy to the mass of an object and the speed of light.

Solving Multi-Step Problems

1. Plan and Organize Your Solution
- Plan your solution by working backward from what you are trying to find to what you are given.
- Determine what numerical information is given and what you need to find.
- Decide what formula(s) to use.

2. Write the Solution
- Work forward from what you are given to what you are trying to find.
- Convert quantities to similar units (if necessary).
- Substitute known values (given or calculated) to solve for the unknown.

Sagot :

GinnyAnswer
Let's tackle a similar type of multi-step problem to understand the process of formulating and solving it step-by-step.

Problem:

John has some initial amount of money. He buys several bagels, and we know the cost per bagel. We need to find out how much money he will spend on bagels and how much money will be left after purchasing the bagels.

Given:
- Initial amount of money John has: [tex]$23 - Number of bagels John buys: 5 - Cost per bagel: $[/tex]3

Step-by-Step Solution:

1. Understand what is given and what we need to find:
- Initial amount of money (Money Initial): [tex]$23 - Number of bagels (Bagels): 5 - Cost per bagel (Bagel Cost): $[/tex]3

We need to find:
- The total amount of money spent on bagels (Money Spent).
- The amount of money left after buying the bagels (Money Left).

2. Calculate the total money spent on bagels:
- Multiply the number of bagels by the cost per bagel.
- Money Spent = Bagels Bagel Cost
- Money Spent = 5 [tex]$3 - Money Spent = $[/tex]15

3. Calculate the money left after buying the bagels:
- Subtract the money spent on bagels from the initial amount of money.
- Money Left = Money Initial - Money Spent
- Money Left = [tex]$23 - $[/tex]15
- Money Left = [tex]$8 Final Answer: - John will spend $[/tex]15 on bagels.
- After buying the bagels, he will have $8 left.

This structured approach ensures you cover all the necessary steps to arrive at the correct solution. By identifying what’s given, using appropriate formulas, and performing the calculations step-by-step, you can effectively solve this and similar multi-step problems.
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