Answer
See explanations.
Work Step by Step
Step 1. The percentage of adult height is given by the model:
$f(x)=62+35\ log(x-4)$
For a girl at age 10, we have $x=10$, and the percentage of adult height is
$f(10)=62+35\ log(10-4)\approx 89\% $.
Step 2. Predict her adult height: assume her adult height is $y$. Since she is 4 feet 6 inches, or $54\ in$ at age 10, we have
$f(10)=\frac{54}{y}=0.89$, which gives $y\approx61\ in$ or, 5 feet 1 inch.