Question

functions and lines
function tables with two - step rules
fill in the table using this function rule.
y = 6x + 3

x	y
7
8
10

Explanation:

Step1: Calculate y when x=3

Substitute \( x = 3 \) into \( y = 6x + 3 \). So \( y = 6\times3 + 3 = 18 + 3 = 21 \).

Step2: Calculate y when x=7

Substitute \( x = 7 \) into \( y = 6x + 3 \). So \( y = 6\times7 + 3 = 42 + 3 = 45 \).

Step3: Calculate y when x=8

Substitute \( x = 8 \) into \( y = 6x + 3 \). So \( y = 6\times8 + 3 = 48 + 3 = 51 \).

Step4: Calculate y when x=10

Substitute \( x = 10 \) into \( y = 6x + 3 \). So \( y = 6\times10 + 3 = 60 + 3 = 63 \).

Answer:

When \( x = 3 \), \( y = 21 \); when \( x = 7 \), \( y = 45 \); when \( x = 8 \), \( y = 51 \); when \( x = 10 \), \( y = 63 \). The completed table has \( y \)-values 21, 45, 51, 63 for \( x \)-values 3, 7, 8, 10 respectively.