Question

When Akbar’s son was four years old, Akbar put $250 into an account that guaranteed a 10% annual return. The equation f(x=250(1.10) represents the amount of money in the account when the child will be x years old. Which graph models the scenario?

Answer 1

A screenshot of the graph is attached.

The graph starts at $250, as that is the amount invested, and increases exponentially from that point.

Answer 2

Answer:

The graph is attached below.

Step-by-step explanation:

The general form of the exponential function is

$y=a(1+r)^x$

where,

a = initial amount

r = rate of change

This is used in case of compound interest. Putting the values,

$y=250(1+0.10)^x=250(1.10)^x$

Here,

a = 250 as at the beginning Akbar added $250 into the account

r = 10% as the amount is increased by 10% from the previous amount

Plotting the graph.

As the initial amount is 250, i.e the y intercept of the graph will be 250.

As neither years (x) not amount of money (y) be negative, so the graph will be in the 1st quadrant.