SOLUTION: R=-0.075t + 3.85 can be used to predict the world record in the 1500-m run t years after 1930. Determine (in terms of an inequality) those years for which the world record will be
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Question 69558This question is from textbook
: R=-0.075t + 3.85 can be used to predict the world record in the 1500-m run t years after 1930. Determine (in terms of an inequality) those years for which the world record will be less than 3.5 minutes. This question is from textbook
You can put this solution on YOUR website! R=-0.075t + 3.85 can be used to predict the world record in the 1500-m run t years after 1930. Determine (in terms of an inequality) those years for which the world record will be less than 3.5 minutes.
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Write the equation like this and solve for t:
-.075t + 3.85 < 3.5
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Subtract 3.85 from both sides:
-.075t < 3.5 - 3.85
-0.075t < -.35
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Mult equation by -1 to make both sides positive, you must reverse the < to >.
+.075t > +.35
t > .35/.075
t > 4.67 years after 1930, so we can safely say in 1935 the record will be under 3.5 minutes
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Check using t=5:
-.075(5) + 3.85 = 3.475 min the world record in 1935
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