Manatee population. In January 2005, 3143 manateeswere counted in an aerial survey of Florida. In January2011, 4834 manatees were counted. (Source: Florida Fishand Wildlife Conservation Commission.)a) Using the year as the x-coordinate and thenumber of manatees as the y-coordinate, find anequation of the line that contains the two datapoints.b) Use the equation in part (a) to estimate the number ofmanatees counted in January 2010.c) The actual number counted in January 2010 was5067. Does the equation found in part (a) give anaccurate representation of the number of manateescounted each year? Why or why not?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Manatee population. In January 2005, 3143 manatees
were counted in an aerial survey of Florida. In January
2011, 4834 manatees were counted. (Source: Florida Fish
and Wildlife Conservation Commission.)
a) Using the year as the x-coordinate and the
number of manatees as the y-coordinate, find an
equation of the line that contains the two data
points.
b) Use the equation in part (a) to estimate the number of
manatees counted in January 2010.
c) The actual number counted in January 2010 was
5067. Does the equation found in part (a) give an
accurate representation of the number of manatees
counted each year? Why or why not?
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