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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: 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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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.
:
Write the equation like this and solve for t:
-.075t + 3.85 < 3.5
:
Subtract 3.85 from both sides:
-.075t < 3.5 - 3.85
-0.075t < -.35
:
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
:
Check using t=5:
-.075(5) + 3.85 = 3.475 min the world record in 1935
:
How about this, did it make sense to you? Any questions?
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