Scientists in Malaysia have collected data revealing that there is a linear relationship between the length (snout to vent) of the beaked sea snake and the length of its catfish prey such that l(x) = 2.41 + 0.12x, where x is the snout-vent length (cm) of the snake and l(x) is the predicted length (cm) of the catfish. Source: Biotropica. a. Use the function above to estimate the size of catfish that a snake which has a snout-vent length of 70 cm will choose for prey. b. Calculate the derivative of this function and interpret the results.
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Scientists in Malaysia have collected data revealing that there is a linear relationship between the length (snout to vent) of the beaked sea snake and the length of its catfish prey such that
l(x) = 2.41 + 0.12x,
where x is the snout-vent length (cm) of the snake and l(x) is the predicted length (cm) of the catfish. Source: Biotropica.
a. Use the function above to estimate the size of catfish that a snake which has a snout-vent length of 70 cm will choose for prey.
b. Calculate the derivative of this function and interpret the results.
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