To determine which of the given ordered pairs \((x, y)\) fit the function \( y = 16 + 0.5x \), we need to verify each pair by substituting the \( x \) value into the equation and checking if the resulting \( y \) value matches the given \( y \) value.
Let's check each pair one by one:
1. Pair \((0, 18)\):
[tex]\[
y = 16 + 0.5 \cdot 0
\][/tex]
[tex]\[
y = 16 + 0 = 16
\][/tex]
The \( y \) value should be 16, but the given \( y \) value is 18. Therefore, \((0, 18)\) does not fit the function.
2. Pair \((5, 19.5)\):
[tex]\[
y = 16 + 0.5 \cdot 5
\][/tex]
[tex]\[
y = 16 + 2.5 = 18.5
\][/tex]
The \( y \) value should be 18.5, but the given \( y \) value is 19.5. Therefore, \((5, 19.5)\) does not fit the function.
3. Pair \((8, 20)\):
[tex]\[
y = 16 + 0.5 \cdot 8
\][/tex]
[tex]\[
y = 16 + 4 = 20
\][/tex]
The \( y \) value is 20, which matches the given \( y \) value. Therefore, \((8, 20)\) fits the function.
4. Pair \((10, 21.5)\):
[tex]\[
y = 16 + 0.5 \cdot 10
\][/tex]
[tex]\[
y = 16 + 5 = 21
\][/tex]
The \( y \) value should be 21, but the given \( y \) value is 21.5. Therefore, \((10, 21.5)\) does not fit the function.
Only the ordered pair \((8, 20)\) fits the function \( y = 16 + 0.5x \). Therefore, the missing values represented by \((x, y)\) are:
[tex]\[
(8, 20)
\][/tex]
