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.

Answer 1

`The \: text \: tells \: us \: that \: we \: can \\ predict \: her \: height \: by \: taking \\ her \: age \: in \: months, \: adding \: 75, \\ and \: multiplying \: by  \: (1)/(3) . \: So \: our \\ equation \: is`

`h = (m + 75). (1)/(3)`

(or)

`h = (1)/(3) (m + 75)`

b) Determine her predicted height on her second birthday

To predict Asia’s height on her second birthday, we substitute m=24

into our equation (because 2 years is 24 months) and solve for h.

`h = (1)/(3) (24 + 75)`

`h = (1)/(3) (99)`

`h = 33`

Asia’s height on her second birthday was predicted to be 33 inches.