Final answer:
The question involves using a linear function to model the relationship between seed mass and shoot length for cotton seedlings, with the ability to calculate shoot length for seed masses between 68 and 80 milligrams by applying the function f(x) = 0.28x - 2.9.
Step-by-step explanation:
The student's question involves understanding how the function f(x) models the relationship between seed mass and shoot length in cotton seedlings. To analyze this, one would apply the given function
f(x) = 0.28x - 2.9, where x represents the seed mass in milligrams.
The range 68≤ x≤ 80 indicates the seed mass values that correspond to the measured shoot lengths. This task would require computing the value of the function within this interval to determine the shoot length for a given seed mass.
For example, if we wanted to calculate the shoot length for a seed mass of 75 mg, we would substitute x with 75 in the function, resulting in
f(75) = 0.28(75) - 2.9.
Cross multiplying and solving proportions like in some provided examples is a common technique in algebra for finding unknown values, including lengths and heights in geometric contexts or magnification ratios.
As the given question is incomplete, the complete question is;
f(x)=0.28x-2.9 The given function f models the length, in centimeters (cm), of aboveground growth, known as shoot length, of cotton seedlings after emerging from seeds, where x represents the seed mass, in milligrams (mg), and 68≤ x≤ 80.