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Question

# The following situation can be modeled by linear functions. In the following case, draw a graph of the function and use the graph to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. A group of climbers begin climbing at an elevation of $6500$ feet and ascend at a steady rate of $600$ vertical feet per hour. What is their elevation after $3.5$ hours?

Solution

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We can conclude that the starting altitude of $6500$ feet is the $y$-intercept and the steady ascend rate is the positive slope of the function, so the linear equation for this situation is

$a=600t+6500$

where $a$ is the altitude which is the dependent variable and $t$ is time and it is an independent variable.

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