Question

Janie has
\[\$3\]. She earns
\[\$1.20\] for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for
\[\$13.50\].
Graph the solution set to this inequality.
\[5\]
\[5.5\]
\[6\]
\[6.5\]
\[7\]
\[7.5\]
\[8\]
\[8.5\]
\[9\]
\[9.5\]
\[10\]

Answer 1

Let x = number of chores. She needs
3 + 1.20x ≥ 13.50
1.20x ≥ 10.50
x ≥ 10.50/1.20 = 8.75.

Graph: put a closed dot at 8.75 (between 8.5 and 9) and shade the number line to the right (including 9, 9.5, 10, ...).

(If chores had to be whole, she'd need 9 chores, but fractions are allowed so x ≥ 8.75.)