Question

The long jump record, in feet, at a particular school can be modeled by f(x)= 18.1 + 2.2ln (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 14 years after record started being kept? Round your answer to nearest tenth.

Answer 1

F(x)=18.1+2.2ln(x+1), when x=14

f(14)=18.1+2.2ln(14+1)

f(14)=18.1+2.2ln(15)

f(14)≈24.06 ft  (to nearest hundredth of a foot)