Interpreting Data Question 8

calculator allowed The graph above models the amount of money in two different bank accounts $t$ years after they were opened on the same day. The amount in each account grows at a constant rate. According to the model, which of the following statements is true?

Account A always has more money than Account B.

The growth rate for Account A is more than the growth rate for Account B.

t=2

, there will be about $200 more in Account A than in Account B.

At some time for

4\lt t \lt 5

, the amount of money in both accounts will be the same.

Approach

Account B initially has less money, but its rate of growth is higher. The amount in Account B eventually becomes greater than then amount in Account A.

As shown below, the amount at $t=2$ is less than $100. There is a point in which the amounts in both accounts are the same, which occurs between $t=4$ and $t=5$ .