Question

The weight, in pounds, of a male child can be estimated 3 using the function f(x) = 2.69x^3/4, where x represents the child's age in months. Determine the child's weight at 3 years of age, rounded to the nearest thousandth.

Answer 1

the modeled equation for the weight of a male child is

`f(x)=2.69X^{(3)/(4)}`

x is the age of the child in months

to calculate the child weight in 3 years

we need to convert the years to months since x is a function of months

12 months ==== 1 year

x months = 3 years

cross multiplication

12 x 3 = 1 * x

x = 36 months

Therefore, 3 years =