Question

use the equation to complete the table.
$y = \frac{x}{2} - 1$

x	23	20	17	14	11
y	\square	\square	\square	\square	\square

Explanation:

Step1: For \( x = 23 \)

Substitute \( x = 23 \) into \( y=\frac{x}{2}-1 \), we get \( y=\frac{23}{2}-1=\frac{23 - 2}{2}=\frac{21}{2}=10.5 \)

Step2: For \( x = 20 \)

Substitute \( x = 20 \) into \( y=\frac{x}{2}-1 \), we get \( y=\frac{20}{2}-1 = 10 - 1=9 \)

Step3: For \( x = 17 \)

Substitute \( x = 17 \) into \( y=\frac{x}{2}-1 \), we get \( y=\frac{17}{2}-1=\frac{17 - 2}{2}=\frac{15}{2}=7.5 \)

Step4: For \( x = 14 \)

Substitute \( x = 14 \) into \( y=\frac{x}{2}-1 \), we get \( y=\frac{14}{2}-1 = 7 - 1=6 \)

Step5: For \( x = 11 \)

Substitute \( x = 11 \) into \( y=\frac{x}{2}-1 \), we get \( y=\frac{11}{2}-1=\frac{11 - 2}{2}=\frac{9}{2}=4.5 \)

Answer:

When \( x = 23 \), \( y = 10.5 \); when \( x = 20 \), \( y = 9 \); when \( x = 17 \), \( y = 7.5 \); when \( x = 14 \), \( y = 6 \); when \( x = 11 \), \( y = 4.5 \)

The completed table is:

\( x \)	23	20	17	14	11