Answer
a) $[189,\infty)$
b) $7.2$ million dollars
c) See graph
d) $220.4$ million dollars
Work Step by Step
We are given the function:
$T(p)=0.5(p-189)$
As $x$ is greater than or equal to 189, the domain of the function $T$ is:
$[189,\infty)$
b) Determine $T(203.4)$:
$T(203.4)=0.5(203.4-189)=7.2$
c) Graph the function using the points $(189,0)$ and $(203.4,7.2)$:
d) Solve the equation $T(p)=15.7$:
$0.5(p-189)=15.7$
$p-189=\dfrac{15.7}{0.5}$
$p-189=31.4$
$p-189+189=31.4+189$
$p=220.4$
