Question

Evaluate h(d) =4/9d+6 2/3 for d=3

A. 8

B. 7

C.7 1/3

D. 2 2/3

Answer 1

For this case we have a function of the form
`y = h (d)`. Where:

`h (d) = \frac {4} {9} d + 6 \frac {2} {3}`

Rewriting the mixed number as a fraction:

`h (d) = \frac {4} {9} d + \frac {3 * 6 + 2} {3}\\h (d) = \frac {4} {9} d + \frac {20} {3}`

Substituting
`d = 3`:

`h (3) = \frac {4} {9} (3) + \frac {20} {3}\\h (3) = \frac {4} {3} + \frac {20} {3}\\h (3) = \frac {24} {3}\\h (3) = 8`

ANswer:

Option A