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Julie is tracking the growth of a plant for a science project. The height of the plant on the 2nd day she measured was 8 inches and on the 7th day, it was 20.5 inches find and interpret the rate of change.

Respuesta :

This means that the plant grow at a rate of 2.5 inches per day.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the height of the plant after x days.

The height of the plant on the 2nd day she measured was 8 inches. It is given by:

  • (2, 8)

The height of the plant on the 7th day she measured was 20.5 inches. It is given by:

  • (7, 20.5)

The rate of change (m) is:

  • [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{20.5-8}{7-2} =2.5[/tex]

This means that the plant grow at a rate of 2.5 inches per day.

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