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