Suppose the price of a school lunch at Sunny Elementary School is based on the annual income of a student's family. A student from a family of four whose annual family income is between $ 70000 and $ 75000 will pay $ 5.00 plus 0.05 % of their family income over $ 70000.

a) Find the price of a school lunch for a child from a family of four whose family income is $ 74000.
$

b) Find a formula for $P(x)$, the price of a school lunch for a child from a family of four whose annual income is $x$, where $70000 \leq x\leq 75000$.
$P(x)=$

c) Evaluate $P(70000)$ and select the most appropriate interpretation.


A. It is the number of school lunches a child from a family of four whose annual income is 70000 must buy.

B. Is it the price of school lunches for a month for a child from a family of four whose annual income is 70000.

C. It is the price of a school lunch for a child from a family of four whose annual income is 70000.

Hint: