To find the record for the long jump 8 years after the records started being kept, we need to substitute x = 8 into the equation f(x) = 20.4 + 2.1ln(x+1).
f(8) = 20.4 + 2.1ln(8+1)
= 20.4 + 2.1ln(9)
≈ 20.4 + 2.1(2.197)
≈ 20.4 + 4.6137
≈ 24.0
Rounded to the nearest tenth, the record for the long jump 8 years after records started being kept is 24.0.
The long jump record, in feet, at a particular school can be modeled by f(x)=20.4+2.1ln(x+1) where x is the number of years since records began to be kept at the school. What is the record for the long jump 8 years after record started being kept? Round your answer to the nearest tenth and do not enter the units.
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