Question

Given power models, which is the correct model?

Power model; y = 41.21x–0.86
exponential model; y = 54.97(0.71)x
logarithmic model; y = 39.14 – 17.93 ln x quadratic model;
y = 0.60x2 – 10.38x 46.73

Answer 1

The correct model among the given options is the exponential model: y = 54.97(0.71)^x.

Step-by-step explanation:

The correct model among the given options is the exponential model: y = 54.97(0.71)x.

This is because the exponential model has the form y = abx, where a and b are constants. In this model, the base b is less than 1, indicating exponential decay.

For example, if we substitute x = 2 into the equation, we get y = 54.97(0.71)2.