A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water 3 minutes later, swimming in the same direction at 74 meters per minute. Which parametric equations could model the swimmers' paths from the time the second swimmer entered the water?
Answer
A
x times t is equal to 54 t and y times t is equal to 74 times open paren t plus 3 close paren
B
x times t is equal to 54 times open paren t plus 3 close paren and y times t is equal to 74 t
C
x times t is equal to 54 t and y times t is equal to 74 times open paren t minus 3 close paren
D
x times t is equal to 54 times open paren t minus 3 close paren and y times t is equal to 74 t
Explanation
Let t represent the minutes since the second swimmer entered. The first swimmer has been swimming for t + 3 minutes, so their distance is x(t) = 54(t + 3). The second swimmer’s distance is y(t) = 74t, so the equations in choice B model their paths.
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