Create equations in two or more variables, graph them, and interpret relationships with labels and scales.
Write an exponential or logarithmic equation in two variables from a context
Problem
An amount starts at \(500\) and grows \(4\%~\text{per}~\text{year}\) for \(x\) years. Write an equation for amount \(y\).
Big Picture
What this problem is really about
Separate the two roles in the context: the starting amount sets the value at time zero, while the percent increase determines a yearly multiplier. Repeating that multiplier places elapsed years in the exponent. Check the finished structure by testing time zero and by confirming that advancing one year multiplies the output by the intended growth factor.
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