Question

which equation gives the rule for this table?
x | y
4 | 45
5 | 46
6 | 47
7 | 48
y = x + 41 y = x + 11 y = x + 15 y = x + 12
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Explanation:

Step1: Test the first equation with x=4

Substitute x = 4 into \( y = x + 41 \). Then \( y = 4 + 41 = 45 \), which matches the first table entry (4, 45). Let's check another value to be sure.

Step2: Test the first equation with x=5

Substitute x = 5 into \( y = x + 41 \). Then \( y = 5 + 41 = 46 \), which matches the second table entry (5, 46). We can also check x=6: \( y = 6 + 41 = 47 \), and x=7: \( y = 7 + 41 = 48 \), both matching the table.

Answer:

\( y = x + 41 \)