The date of the first sighting of robins has been occurring earlier each spring over the past 25 years at a certain laboratory. Scientists from this laboratory have developed two linear equations, shown below, that estimate the date of the first sighting of robins, where x is the year and y is the estimated number of days into the year when a robin can be expected. Complete parts a and b. (Hint: 2000 was a leap year.) y=725-0.321x y=1558-0.735x A. Compare the date of first sighting in 2000 for each of these equations. March 23, March 28 B. Solve this system of equations to find the year in which the two estimates agree. Therefore, the year in which the two estimates agree is________.
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.
The date of the first sighting of robins has been occurring earlier each spring over the past 25 years at a certain laboratory. Scientists from this laboratory have developed two linear equations, shown below, that estimate the date of the first sighting of robins, where x is the year and y is the estimated number of days into the year when a robin can be expected. Complete parts a and b. (Hint: 2000 was a leap year.)
y=725-0.321x
y=1558-0.735x
A. Compare the date of first sighting in 2000 for each of these equations.
March 23, March 28
B. Solve this system of equations to find the year in which the two estimates agree.
Therefore, the year in which the two estimates agree is________.
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