Question

complete the table for the given rule.
rule: y is 0.75 greater than x
x | y
0 |
3 |
6 |

Explanation:

Step1: Formula Derivation

The rule is \( y \) is \( 15\% \) greater than \( x \). Mathematically, \( 15\% \) of \( x \) is \( 0.15x \), so \( y=x + 0.15x=1.15x \).

Step2: Calculate for \( x = 10 \)

Substitute \( x = 10 \) into \( y = 1.15x \): \( y=1.15\times10 = 11.5 \).

Step3: Calculate for \( x = 5 \)

Substitute \( x = 5 \) into \( y = 1.15x \): \( y=1.15\times5=5.75 \).

Step4: Calculate for \( x = 8 \)

Substitute \( x = 8 \) into \( y = 1.15x \): \( y=1.15\times8 = 9.2 \).

Answer:

To complete the table where the rule is \( y \) is \( 15\% \) greater than \( x \), we use the formula \( y = x + 0.15x = 1.15x \).

For \( x = 10 \):

Step1: Apply the formula

\( y = 1.15\times10 \)
\( y = 11.5 \)

For \( x = 5 \):

Step2: Apply the formula

\( y = 1.15\times5 \)
\( y = 5.75 \)

For \( x = 8 \):

Step3: Apply the formula

\( y = 1.15\times8 \)
\( y = 9.2 \)

So the completed table (from top to bottom for \( y \) values) is \( 11.5 \), \( 5.75 \), \( 9.2 \).