SOLUTION: The total length (l) of a certain species of snake is related linearly to the tail length (t) of this snake. Here are the measurements for two snakes of this species. Snake 1:l=1

Question 65902This question is from textbook Algebra 1
: The total length (l) of a certain species of snake is related linearly to the tail length (t) of this snake. Here are the measurements for two snakes of this species. Snake 1:l=150 mm and t=19 mm; snake 2:l=300 mm and t=40 mm. Use the ordered pairs (l, t).
a. Find the linear equation for these data points.
b. Use this linear equation to estimate the tail length of a snake with a total length of 200 mm.
c. Use this linear equation to estimate the tail length of a snake with a total length of 350 mm.
THANK YOU!!! This question is from textbook Algebra 1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The total length (l) of a certain species of snake is related linearly to the tail length (t) of this snake. Here are the measurements for two snakes of this species. Snake 1:l=150 mm and t=19 mm; snake 2:l=300 mm and t=40 mm. Use the ordered pairs (l, t).
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You have two points in the form (l,t): (150,19) and (300,40)
a. Find the linear equation for these data points.
slope=[40-19]/[300-140]=21/150=7/50
intercept: 40=(7/50)(300)+b; 40=42+b; b=-2
EQUATION: tail=(7/50)(length)-2
b. Use this linear equation to estimate the tail length of a snake with a total length of 200 mm.
t=(7/50)200-2
t=26 mm
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c. Use this linear equation to estimate the tail length of a snake with a total length of 350 mm.
t=(7/50)(350)-2
t=47 mm
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Cheers,
Stan H.

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