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rebelfighter24ovin5h
17.10.2020 •
Mathematics
Laura wants to place one flowerpot every meters along the path from the gate to the main entrance of her home. The path is meters long. How many flowerpots will she need?
A. 16
B. 12
C. 9
D. 6
E. 4
Solved
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Ответ:
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
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.
Divide both the sides by 100.
The value of b is 1.5.
Substitute a=100 and b=1.5 in equation (1).
It means the value is 1.5 times larger in every unit of time.
It can be written as
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.