Answer:
The correct options are 1 and 2.
Step-by-step explanation:
From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).
The general form of an exponential function is
[tex]y=ab^x[/tex] .... (1)
Where, a is the initial value and b is growth rate.
The initial value is 100 because the y-intercept of the graph is 100.
The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.
[tex]150=100b^1[/tex]
Divide both the sides by 100.
[tex]1.5=b[/tex]
The value of b is 1.5.
Substitute a=100 and b=1.5 in equation (1).
[tex]y=100(1.5)^x[/tex]
It means the value is 1.5 times larger in every unit of time.
It can be written as
[tex]y=100(1+0.5)^x[/tex]
It means the initial value increased by 50% per unit of time.
So, the required scenarios are
1. The amount of money in a bank account increased by 505 per year.
2. The amount of a substance is one and a half times larger after every minute.
Therefore the correct options are 1 and 2.
