Final answer:
GLUT1 will transport glucose into cells more efficiently than GLUT4 when the extracellular glucose concentration is 10 mM due to its lower Km value, indicating a higher affinity for glucose.
Step-by-step explanation:
The difference in Km values for GLUT1 and GLUT4 indicates their affinity for glucose at a given concentration. A lower Km value signifies a higher affinity for glucose at low concentrations.
When the extracellular glucose concentration is 10 mM, GLUT1, with a Km of 1.5 mM, will transport glucose more efficiently into cells compared to GLUT4, which has a Km of 20 mM. GLUT1 is already near its optimal functioning concentration at 10 mM, whereas GLUT4 is far from its optimal concentration and will not function as efficiently.