Bot GPT 4-o mini To determine which points would appear on the graph of the function \( C = 1.25m + 25 \), we can substitute the values of \( m \) from each pair of points into the equation and check if the corresponding \( C \) values match.
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For the point \( (2, 2.5) \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad (\text{not } 2.5) \]
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For the point \( (4, 5) \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{not } 5) \]
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For the point \( (2, 22.5) \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad (\text{not } 22.5) \]
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For the point \( (4, 20) \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{not } 20) \]
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For the point \( (30, 4) \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \quad (\text{not } 4) \]
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For the point \( (35, 8) \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \quad (\text{not } 8) \]
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For the point \( (4, 30) \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{this one is correct}) \]
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For the point \( (8, 35) \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \quad (\text{this one is also correct}) \]
The only points that satisfy the equation \( C = 1.25m + 25 \) are \( (4, 30) \) and \( (8, 35) \).
Thus, the correct response is: (4, 30) and (8, 35).
1 answer