Question

table below shows the circumstances of a tree trunk as the tree ages. which statement describes the rate of change shown in the table?

Answer 1

Remember that

the arte of change is the the same that the slope

so

we take two points

(4,6) and (7,9)

m=(9-6)/(7-4)

m=3/3

m=1 in/year ------> rate of change

the equation is slope intercept form is

y=mx+b

we have

m=1 -

point (4,6)

substitute

6=1(4)+b

b=2

y=x+2

Verify the other ordered pairs with the equation

For x=11 ------> y=11+2=13 is ok

For x=16 -----> y=18 is ok

For x=22 -----> y=24 is ok

therefore

the answer is option A