A group of climbers begin climbing at an elevation of 5000 feet and ascend at a steady rate of 1500 vertical feet per hour. This situation can be modeled by a linear function. Identify the independent and dependent variables.

Answer:Linear function:[tex]y=1500x+5000[/tex]x- Independent variable y- Dependent variableStep-by-step explanation:We are given that Climbers start climbing at an elevation of height =5000 ftThe steady rate at which climbers start climbing=1500 ft/hWe have to find the independent variable and dependent variable.Let time taken by climbers=x hoursIn 1 hour, climbers cover distance =1500 ft In x hours , climber cover distance=1500x ft According to question The total distance y covered by climber in x hours[tex]y=1500x+5000[/tex]This is required linear function.We can see that x does not depend on any other quantity.Therefore, x is independent variable .When the value of x changes then the value of y is also change.It means the value of y depends on the value of x.Therefore, y is dependent variable.