Constructing and comparing linear and EXPONENTIAL models
The function f(x)=x*4 is the amount of gear a skiing company has. The function f(x)= 2^x is the amount of skiers that come each year. X is the year in this word problem.
The constant rate for the linear function is *4, and the constant percent rate is 2^x.
The linear model in the graph is shown in red, while the exponential model is in blue. Both of the models increase because there can't be negative amount of skiers who go there or negative gear. The models intercept at 4,16 meaning on the forth year, 16 people will go and there will be exactly enough gear for every person. Also, both models increase at a high rate of change.