Austin is using graphs to compare the growth rates of g(x)=1.3x and f(x)=1.3x. Which statement correctly describes how Austin should do this and what he will observe?
To compare the growth rates of the functions g(x)=1.3x and f(x)=1.3x, Austin should create a graph with the x-axis representing the value of x and the y-axis representing the value of each function.
Since both functions have the same equation, g(x)=1.3x and f(x)=1.3x, Austin will observe that the graphs of g(x) and f(x) are identical and overlap on the same line. This is because both functions have the same growth rate of 1.3, meaning that for each unit increase in x, the corresponding y-value increases by 1.3.
Therefore, Austin will observe that both functions have the same slope and result in lines with the same steepness on the graph.