High School

. Nguyen's New Year's resolution was to lose weight. At the beginning of the New Year, Nguyen weighed 314 pounds. After 128 days, she weighed 218 pounds. Let x represent the number of days that have passed since the New Year and let y represent Nguyen's weight. a) Find the rate of change of Nguyen's weight loss over time. b) Write a linear equation modeling Nguyen's weight.

Answer :

Nguyen's weight loss over time can be represented by the linear equation with a rate of -0.75 pounds per day and the equation y = -0.75x + 314.

a) To find the rate of change of Nguyen's weight loss over time, we need to calculate the slope of the line that represents the rate at which Nguyen lost weight. This can be calculated using the formula for slope: slope = (y₂ - y₁) / (x₂ - x₁).

In this case, x₁ is the starting point (the beginning of the year or day 0), y₁ is our initial weight (314 pounds), x₂ is 128 days, and y₂ is 218 pounds. So, slope = (218 - 314) / (128 - 0)

= -96 / 128

= -0.75.

This means that Nguyen is losing weight at a rate of 0.75 pounds per day.

To know more about linear equation , refer

https://brainly.com/question/2030026

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