Question

multiple choice 1 point
7 which equation best represents the relationship between q and p shown in the table if q is the independent variable?
a $p=4q$
b $q=4p$
c $p=q+4$
d $q=p+4$

q	-4	1	5	7

Explanation:

Step1: Test Option A ($p=4q$)

Check with $q=-4$: $p=4\times(-4)=-16$, but table has $p=0$. Incorrect.

Step2: Test Option B ($q=4p$)

Check with $p=0$: $q=4\times0=0$, but table has $q=-4$. Incorrect.

Step3: Test Option C ($p=q+4$)

Check $q=-4$: $p=-4+4=0$ (matches table).
Check $q=1$: $p=1+4=5$ (matches table).
Check $q=5$: $p=5+4=9$ (matches table).
Check $q=7$: $p=7+4=11$ (matches table).

Step4: Test Option D ($q=p+4$)

Check with $p=0$: $q=0+4=4$, but table has $q=-4$. Incorrect.

Answer:

C. $p=q+4$