The equation y=6400x represents the number of miles, y, that the satellite Space Explorer flies in x hours. Find the rate of change.

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Answer 1

The rate of change is 6400 miles per hour.this means that for every hour the satellite space explorer flies, it covers a distance of 6400 miles.

the rate of change in this context refers to the slope of the equation y = 6400x. in this equation, the coefficient of x, which is 6400, represents the rate of change. Rate of change, also known as the derivative, measures how a quantity changes with respect to another variable. It represents the instantaneous rate at which a function is changing at a specific point. The rate of change is calculated by finding the slope of a curve or the difference in the values of a function over a given interval. It is a fundamental concept in calculus and has applications in various fields such as physics, economics, and engineering. The rate of change provides insights into the direction, speed, and acceleration of a system, allowing us to analyze and predict behavior and make informed decisions based on the trends and patterns observed.

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