Question

When Asia was young, her father marked her height on the door frame every month. He noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches, and multiplying the result by one-third.

Create an equation linking her predicted height, h, with her age in months, m, and solve to find when her height will be 30 inches.

Answer 1

15 months old.

Explanation:

Let m = months and h = height:

h = 1/3(m + 75) ⇔ h = 1/3m + 25

Let h = 30:

`30=(1)/(3)m+25\\5=(1)/(3)m\\15=m`

Therefore, when Asia is 30 inches tall, she will be 15 months old.