Question

Is the data representative of a linear, exponential, quadratic,

or polynomial model?
x 0.5 0.8 1.1 2.3 2.4 2.9 4.4
y 2.3 3.7 6.1 44.3 22.5 118.1 1418.5
A. Linear
B. Quadratic
C. Exponential
D. Polynomial

Answer 1

The given data represents an exponential model. The correct option is C.

Step-by-step explanation:

An exponential model is a mathematical model in which the variable is in the exponent and the graph increases or decreases slowly at first, then more quickly. The graph of an exponential function looks like a curve that starts off with a very flat slope but starts getting steeper and steeper over time.

To determine this, we can observe that as the value of x increases, the value of y increases at an increasing rate. This is indicative of exponential growth. Additionally, we can plot the data points and observe that they form a curve that resembles the shape of an exponential function. The correct answer is C.