Question

part 1 of 2
complete the table. then, plot the pairs of values on the coordinate plane.
2 4 6 8 10
8

complete the table.
2 4 6 8 10
8

Explanation:

Step1: Identify the relationship

Assume a linear relationship (since it's a table for plotting, likely proportional or linear). Let's check the first pair: when \( x = 2 \), \( y = 8 \). So the ratio \( \frac{y}{x}=\frac{8}{2} = 4 \). So the relationship is \( y = 4x \).

Step2: Calculate for \( x = 4 \)

Substitute \( x = 4 \) into \( y = 4x \). So \( y = 4\times4 = 16 \).

Step3: Calculate for \( x = 6 \)

Substitute \( x = 6 \) into \( y = 4x \). So \( y = 4\times6 = 24 \).

Step4: Calculate for \( x = 8 \)

Substitute \( x = 8 \) into \( y = 4x \). So \( y = 4\times8 = 32 \).

Step5: Calculate for \( x = 10 \)

Substitute \( x = 10 \) into \( y = 4x \). So \( y = 4\times10 = 40 \).

Answer:

For \( x = 4 \), \( y = 16 \); for \( x = 6 \), \( y = 24 \); for \( x = 8 \), \( y = 32 \); for \( x = 10 \), \( y = 40 \). So the completed table (from left to right in the second row) is \( 16 \), \( 24 \), \( 32 \), \( 40 \).