Question

Which function best models the data in the graph?

a.) y = 10.1x + 101
b.)y = x2 + 101
c.)y = 101(2x)
d.)y = 1.01x2 + 101

Answer 1

The function that best models the data in the graph is y = 1.01x^2 + 101 (option d).

Step-by-step explanation:

The function that best models the data in the graph is y = 1.01x^2 + 101 (option d).

To determine the best function, we need to analyze the graph and its characteristics. The given options are:

• a.) y = 10.1x + 101
• b.) y = x^2 + 101
• c.) y = 101(2x)
• d.) y = 1.01x^2 + 101

Looking at the graph, we can see that it is a curved shape, which suggests a quadratic relationship. The function in option d, y = 1.01x^2 + 101, represents a quadratic relationship where the coefficient of x^2 is positive, indicating an upward-opening parabola. This function is the best model for the data in the graph.