Question

determine whether the set of data in the table below displays exponential behavior.

x	0	5	10	15
y	20	10	5	2.5

choose the correct words or phrases to complete the statements.

• does the set of data display exponential behavior? select choice
• the domain values are at select choice intervals.
• the range values have a common select choice that is select choice.

Explanation:

Step1: Check domain intervals

Calculate differences between consecutive $x$-values:
$5-0=5$, $10-5=5$, $15-10=5$

Step2: Check range pattern

Calculate ratios of consecutive $y$-values:
$\frac{10}{20}=0.5$, $\frac{5}{10}=0.5$, $\frac{2.5}{5}=0.5$

Step3: Verify exponential behavior

Exponential data has constant domain intervals and constant range ratios.

Answer:

• Does the set of data display exponential behavior? Yes
• The domain values are at constant intervals.
• The range values have a common ratio that is 0.5