Question

Which table (s) of data illustrate (s) a constant rate of change?

Answer 1

for a constant rate of change

find the rate of change for table 1

$r=\frac{15-12}{2-1}=\frac{3}{1}=3$$r=\frac{18-15}{3-2}=\frac{3}{1}=3$

so table 1 has a constant rate of change.

for table 2

$r=\frac{21-20}{2-1}=1$

$r=\frac{23-21}{3-2}=2$

so table 2 has a variable rate of change.

for table 3

$r=\frac{7-5}{2-1}=2$

$r=\frac{9-7}{3-2}=2$

so table 3 has a constant rate of change.

so the correct answer is option A