Question

From the given tables, find the table with a constant ratio of consecutive output?

• A. Table 1
• B. Table 2
• C. Both of the tables
• D. None of the tables

Answer 1

The correct option is B Table 2

Constant ratio of consective output means the function will be an exponential function.

So, for an exponential function, the ratio of consecutive y values must be the same.

Let us consider Table 1:


Let A = 15, B = 31, C = 47, D = 63

$\frac{\text{B}}{A}=\frac{31}{15}=2.06$

$\frac{\text{C}}{B}=\frac{47}{31}=1.51$

$\frac{\text{D}}{C}=\frac{63}{47}=1.34$

Here, the ratios are not same.

Hence, it is not an exponential function.

Let us consider Table 2:


Let A = 15, B = 30, C = 60, D = 120

$\frac{\text{B}}{A}=\frac{30}{15}=2$

$\frac{\text{C}}{B}=\frac{60}{30}=2$

$\frac{\text{D}}{C}=\frac{120}{60}=2$

Here, the ratios are same.

Hence, Table 2 represents an exponential function.

So, for Table 2, the function has a constant ratio of consecutive output.