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Multiple Choice
A Lineweaver-Burk plot generates a line with the following formula: y = 0.3x + 0.4. What is the Km?
A
0.3
B
0.4
C
0.75
D
2.5
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Verified step by step guidance
1
Understand the Lineweaver-Burk plot: It is a double reciprocal plot used to determine important kinetic parameters of enzymes, such as Km and Vmax. The equation of the line is given by \( \frac{1}{V} = \frac{Km}{V_{max}} \cdot \frac{1}{[S]} + \frac{1}{V_{max}} \).
Identify the slope and y-intercept from the given equation \( y = 0.3x + 0.4 \). Here, the slope (0.3) corresponds to \( \frac{Km}{V_{max}} \) and the y-intercept (0.4) corresponds to \( \frac{1}{V_{max}} \).
To find Km, use the relationship between the slope and the y-intercept: \( Km = \text{slope} \times \text{y-intercept} \). Substitute the values: \( Km = 0.3 \times 0.4 \).
Perform the multiplication to calculate Km: \( Km = 0.3 \times 0.4 \).
Interpret the result: The calculated Km value represents the substrate concentration at which the reaction velocity is half of Vmax, providing insight into the enzyme's affinity for the substrate.