A sunflower is 13 inches tall and grows 41 inches each month. The
sunflower's height is a linear function of time. Which statement best
describes the rate of change and initial value of this function?
A. The rate of change is the number of inches grown per month, and
the initial value is the first month.
B. The rate of change is the number of inches grown per month, and
the initial value is the starting height.
C. The rate of change is the starting height, and the initial value is the
number of inches grown per month.
D. The rate of change is the number of months per inch grown, and
the initial value is the first month.

Answer:The rate of change is the number of inches grown per month, and

the initial value is the starting height.

Step-by-step explanation:

The rate of change is the starting height, and the initial value is the

number of inches grown per month.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept

Given,

A sunflower is 13 inches tall and grows 41 inches each month.

The sunflower's height is a linear function of time.

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

y=13+41x.

Here x represents the number of months

13 is the initial height of the sunflower.

In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes  the rate of change and initial value of this function

Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month

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