Question

which equation represents the relationship between x and y?
(chart with x values 1,2,3,4 and y values 4,5,6,7)
options: y = x + 1; y = x - 3; y = x + 3; y = 3x + 1

Explanation:

Step1: Test \( y = x + 1 \)

For \( x = 1 \), \( y = 1 + 1 = 2
eq 4 \). So this equation is incorrect.

Step2: Test \( y = x - 3 \)

For \( x = 1 \), \( y = 1 - 3 = -2
eq 4 \). So this equation is incorrect.

Step3: Test \( y = x + 3 \)

For \( x = 1 \), \( y = 1 + 3 = 4 \); for \( x = 2 \), \( y = 2 + 3 = 5 \); for \( x = 3 \), \( y = 3 + 3 = 6 \); for \( x = 4 \), \( y = 4 + 3 = 7 \). All values match the table.

Step4: Test \( y = 3x + 1 \)

For \( x = 1 \), \( y = 3(1) + 1 = 4 \); for \( x = 2 \), \( y = 3(2) + 1 = 7
eq 5 \). So this equation is incorrect.

Answer:

\( y = x + 3 \)