Growth in weight and height: Between the ages of 7 and 11 years, the weight w, in pounds, of a certain girl is given by the formula w = 8t . Here t represents her age in years. a. Use a formula to...

Growth in weight and height: Between the ages of 7 and 11 years, the weight w, in pounds, of a certain girl is given by the formula

w = 8t .

Here t represents her age in years.

a. Use a formula to express the age t of the girl as a function of her weight w.

b. At what age does she attain a weight of 68 pounds?

c. The height h, in inches, of this girl during the same period is given by the formula

h = 1.8t + 40 .

i. Use your answer to part b to determine how tall she is when she weighs 68 pounds.

 ii. Use a formula to express the height h of the girl as a function of her weight w.

iii. Answer the question in part i again, this time using your answer to part ii.