Question

staar example
the table shows the relationship between p, the number of pears, and f, the number
baskets.

number of pears, p	number of figs, f
3	6
4	8

which equation represents the relationship in the table?
a ( f = p + 1 )
b ( p = f - 4 )
c ( f = 2p )
d ( p = 2f )

Explanation:

Step1: Test Option A

Substitute $p=1$: $f=1+1=2$ (matches first row). Substitute $p=3$: $f=3+1=4$ (does not match 6). Reject A.

Step2: Test Option B

Substitute $f=2$: $p=2-4=-2$ (does not match 1). Reject B.

Step3: Test Option C

Substitute $p=1$: $f=2\times1=2$ (matches). Substitute $p=3$: $f=2\times3=6$ (matches). Substitute $p=4$: $f=2\times4=8$ (matches all rows).

Step4: Verify Option D

Substitute $f=2$: $p=2\times2=4$ (does not match 1). Reject D.

Answer:

C. $f = 2p$