Question

iple choice
y the choice that best completes the statement or answers the question.

1. determine a relationship between the x- and y-values. write an equation.

x	1	2	3	4
y	4	5	6	7

a. $y = -x + 3$
b. $y = x + 4$
c. $y = x + 3$
d. $y = 3x + 1$

Explanation:

Step1: Test option a with x=1

Substitute $x=1$ into $y=-x+3$: $y=-1+3=2$. This does not match the given $y=4$.

Step2: Test option b with x=1

Substitute $x=1$ into $y=x+4$: $y=1+4=5$. This does not match the given $y=4$.

Step3: Test option c with x=1

Substitute $x=1$ into $y=x+3$: $y=1+3=4$. This matches the given $y=4$.

Step4: Verify option c with other x

For $x=2$: $y=2+3=5$ (matches). For $x=3$: $y=3+3=6$ (matches). For $x=4$: $y=4+3=7$ (matches).

Step5: Test option d with x=1

Substitute $x=1$ into $y=3x+1$: $y=3(1)+1=4$. But for $x=2$: $y=3(2)+1=7$, which does not match the given $y=5$.

Answer:

c. $y = x + 3$