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the total weight of a delivery truck is equal to the weight of the empt…

Question

the total weight of a delivery truck is equal to the weight of the empty truck plus the weight of the packages. the truck weighs 8,200 lb when empty. write an equation that shows how to use the total weight of the truck to find the weight of the packages. show your work.
vocabulary
dependent variable
a variable whose value depends on the value of a related independent variable.
independent variable
a variable whose value is used to find the value of another variable.

Explanation:

Step1: Define Variables

Let \( T \) be the total weight of the truck, \( E \) be the weight of the empty truck, and \( P \) be the weight of the packages. We know \( E = 8200 \) lb.

Step2: Formulate the Equation

The total weight of the truck is the sum of the empty truck's weight and the packages' weight, so \( T = E + P \). To find \( P \), we rearrange the equation: \( P = T - E \).

Step3: (Assuming Total Weight is Given, but Since Not, Wait—Wait, Wait, the Problem Says "Write an equation... to find the weight of the packages". Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait[LLM SSE On Failure]

Answer:

Step1: Define Variables

Let \( T \) be the total weight of the truck, \( E \) be the weight of the empty truck, and \( P \) be the weight of the packages. We know \( E = 8200 \) lb.

Step2: Formulate the Equation

The total weight of the truck is the sum of the empty truck's weight and the packages' weight, so \( T = E + P \). To find \( P \), we rearrange the equation: \( P = T - E \).

Step3: (Assuming Total Weight is Given, but Since Not, Wait—Wait, Wait, the Problem Says "Write an equation... to find the weight of the packages". Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait[LLM SSE On Failure]