How is the data represented on a scatterplot that depicts an exponential model? a. points on a line c. points on a horizontal line b. random points d. points on a curvy line

D) points on a curvy line.

There are two mathematical laws that can be used to depict data represented on a scatterplot:
- linear law: y = m·x + b
- exponential law: y = kaˣ 

They have a few common characteristics: 
- they depend on parameters (m and k);
- they describe a direct proportionality;

The difference is that for a linear law it is constant the ratio between the increment on the y-values and the increment on the x-values, resulting in a straight line; on the contrary, for an exponential law it is constant the ratio between the value of the function at (x + 1) and the value of the function at x, therefore the ratio between the increments keeps increasing, resulting in a curvy line.

Hence, if the data follow an exponential model, on a scatterplot the points would lie on a curvy line.

The data in a scatterplot is known to depict that of the exponential model only if the relationship between the independent and the dependent variable does not form a straight line of any kind (horizontal, vertical, with slope). Having said that, the scatterplot depicts an exponential model if the points are on a curvy line. The answer to this item is letter D.

The correct one is c.

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