piper is saving her money to buy a new pair of shoes. She decides to save 8$ of her allowance each week. she writes the following equation to describe the total amount of money she saves each week

We have and equation for the money she saved in function of the number of weeks she has been saving:
[tex]T=8w[/tex]We then can calculate T for any value of w by replacing w with that value.
We have to find the table that satisfy this relationship between T and w.
We can check T for each value of w, and they all must match with the relation T = 8w.
First table:
For w = 3, we should have T = 8*3 = $24. This is different from the value on the table (T = $16). Then, this table does not match the equation.
Second table:
As in the first table, we get a different value for T when w = 3. T should be $24 and it is $16 in the table.
This table does not match the equation.
Third table:
The first row has a correct value as T(w=1) = $8, but for w = 3 it has a wrong value.
For w =3, T should be $24 and not $18.
This table does not match the equation.
Fourth table:
This table match the equation as we have:
[tex]\begin{gathered} T(1)=8\cdot1=8 \\ T(2)=8\cdot2=16 \\ T(3)=8\cdot3=24 \end{gathered}[/tex]that are the values shown in the table.
Answer: Fourth table matches the equation.