Answer
Domain: $\{p\in \mathbb{R}\ |\ 0\lt p\leq 10.60\}$ or $(0,10.60]$
(if we expect price to be possibly 0, then
$\{p\in \mathbb{R}\ |\ 0\leq p\leq 10.60\}$ or $[0,10.60]$)
Work Step by Step
If a function is used as a model for an application, the problem situation may require restrictions on the domain. For example, length and time are generally nonnegative, and a person's age does not increase indefinitely.
$A(p)=-2.5p+26.5 \quad$ can be calculated for any real number t,
but we expect price to be a positive amount, $p\gt 0.$
Also, we expect the amount $A(p)$ to be nonnegative,
$-2.5p+26.5 \geq 0$
$26.5\geq 2.5p$
$\displaystyle \frac{26.5}{2.5}\geq p$
$10.6\geq p$
Domain: $\{p\in \mathbb{R}\ |\ 0\lt p\leq 10.60\}$ or $(0,10.60]$
(if we expect price to be possibly 0, then
$\{p\in \mathbb{R}\ |\ 0\leq p\leq 10.60\}$ or $[0,10.60]$)
