Luis and Baca have been weightlifting together and want to see how long it will take for them to weigh the same.

- Luis weighs 194 pounds and gains 0.6 pounds of muscle per week.
- Baca weighs 218 pounds and gains 0.2 pounds of muscle per week.

Create an equation to determine how long it will take for them to be the same weight.

Write about how you formed the equation used to determine when Luis and Baca will weigh the same.

A linear equation is one in which the highest power of the variable is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation.

To create an equation that Luis and Baca can use to determine how long it will take for them to be the same weight:

Let the time taken by Luis and Baca to be of the same weight be x weeks,

Given:

Initial weight of Luis = 194 pounds

Initial weight of Baca = 218 pounds

Then,

Weight gained by Luis in x weeks = 0.6x pounds

Weight gained by Baca in x weeks = 0.2x pounds

Total weight of Luis after x weeks = (194 + 0.6x ) pounds

Total weight of Baca after x weeks = (218 + 0.2x) pounds

For Luis and Baca to be of the same weight,

Total weight of Luis after x weeks = Total weight of Baca after x weeks

Therefore, we equate the total weight gained by Luis and Baca after x weeks to determine the value of x

⇒ 194 + 0.6x = 218 + 0.2x

⇒ 0.6x - 0.2x =218 - 194

⇒ 0.4x = 24

⇒ x = 60

Hence, Luis and Baca would be the same weight after 60 weeks of weightlifting.

To know more about Linear Equations visit:

https://brainly.com/question/13738061

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