Question

The following tables each show the amount of money, in dollars, in four different bank accounts over time.

Which table best represents an exponential relationship?

Answer 1

for finding the answer divide the amount of second year by first year . then do it to find the division of third year by second year. hf they were equal it means they have an exponential relationship.
it seems that the first one is the answer.
1210/1100=1.1
1331/1210=1.1

Answer 2

Answer with explanation:

The general exponential relationship is

→
`y=a*b^x {\text{or}}, x=a*b^y`

The four tables which is given here, all of them represents exponential relationship because with increase in value of y ,x value increases or vice versa.

The exponential function can be either strictly increasing or strictly decreasing.

Table 1

`(1210)/(1100)=(1331)/(1210)=(1464.10)/(1331)=(1610.51)/(1464.10)=1.1`

In Table 2, Table 3,and table 4, the rate of increase is not constant, it varies that is for different two consecutive y, values their ratio is not constant.

Table 1, best represents the exponential relationship, represented as

`y=1100*(1.1)^x`

Where, x=1,2,3,4,5