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Sagot :
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]
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]
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