Question

the function defined by ( d(x) = 4.4x^{2}+32.6x + 1987 ) approximates the average yearly dormitory charge for 4 - yr universities. ( d(x) ) is the cost in dollars and ( x ) represents the number of years since the study began.
part 1 of 2
(a) evaluate ( d(0) ) and ( d(10) ) and interpret their meaning in the context of this problem.
( d(0)=square ) means that ( square ) year(s) since the study began, the annual dormitory charge was ( $ square ).
( d(10)=square ) means that ( square ) year(s) since the study began, the annual dormitory charge was ( $ square ).

Explanation:

Step1: Evaluate \(D(0)\)

Substitute \(x = 0\) into \(D(x)=4.4x^{2}+32.6x + 1987\).

$$
LATEXBLOCK0
$$

This means that \(0\) year(s) since the study began, the annual dormitory charge was \(\$1987\).

Step2: Evaluate \(D(10)\)

Substitute \(x = 10\) into \(D(x)=4.4x^{2}+32.6x + 1987\).

$$
LATEXBLOCK1
$$

This means that \(10\) year(s) since the study began, the annual dormitory charge was \(\$2753\).

Answer:

\(D(0)=1987\) means that \(0\) year(s) since the study began, the annual dormitory charge was \(\$1987\). \(D(10)=2753\) means that \(10\) year(s) since the study began, the annual dormitory charge was \(\$2753\).