The number of miles Abigail’s boat travels, m, varies directly with the amount of time Abigail spends boating, t. If she spends 2 h in her boat, she travels 19 mi. How do you model this with a direct linear variation?

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The number of miles Abigail’s boat travels, m, varies directly with the amount of time Abigail spends boating, t. If she spends 2 h in her boat, she travels 19 mi. How do you model this with a direct linear variation?

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Answer 1 · 2018-07-15T10:22:22

$m = \frac{19}{2} t$ $m=19/2t$

Explanation:

$the initial statement is m \propto t$ $"the initial statement is "mpropt$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$m = k t$ $m=kt$

$to find k use the given condition$ $"to find k use the given condition"$

$t = 2, m = 19$ $t=2,m=19$

$m = k t \Rightarrow k = \frac{m}{t} = \frac{19}{2}$ $m=ktrArrk=m/t=19/2$

$equation is m = \frac{19}{2} t$ $"equation is "m=19/2t$

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The number of miles Abigail’s boat travels, m, varies directly with the amount of time Abigail spends boating, t. If she spends 2 h in her boat, she travels 19 mi. How do you model this with a direct linear variation?

1 Answer

Explanation:

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