To determine the function that represents the height of the plant based on the number of hours of sunlight (s), we need to consider the information provided:
1. The initial height of the plant is 37 centimeters.
2. The plant grows at a rate of 0.004 centimeters for each hour of sunlight.
Hence, the height of the plant can be expressed as a function of the number of hours of sunlight, s. The initial height is the starting value (37) and the growth per hour of sunlight adds 0.004 centimeters for each hour s, leading to the equation:
\[
\text{Height} = \text{Initial height} + (\text{growth rate} \times \text{number of hours of sunlight})
\]
Substituting the given values, we get:
\[
\text{Height} = 37 + (0.004 \cdot s)
\]
This can be written as:
\[
f(s) = 0.004s + 37
\]
Thus, the function that represents the height of the plant is:
\[
f(s) = 0.004s + 37
\]
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?
s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37
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