The revenues of two companies can be modeled with exponential functions f and g. Here are the graphs of the two functions. In each function, the
revenue is in thousands of dollars and time t, is measured in years. The y-coordinate of the intersection is 215.7. Select all statements that correctly
describe what the two graphs reveal about the revenues.
revenue in thousands of dollars
400
300
200
100
3₁
g
5
10
15
time in years
20
25
The intersection of the graphs tells us when the revenues of the two companies grow by the same factor.
The intersection tells us when the two companies have the same revenue.
At the intersection f (t) > g (t).
At the intersection, f (t) = 215.7 and g (t) = 215.7.
We need to know both expressions that define f and g to find the value of t at the intersection.
If we know at least one of the expressions that define f and g, we can calculate the value of t at the intersection.
