Question

joan needed $100 to buy a graphing calculator for her math class. her neighbor will pay her $5 per hour to babysit and her father gave... options: $5x - 100 \geq 10$, $5x + 10 > 100$, $5x + 10 \geq 100$, $10x + 5 \leq 100$

Explanation:

Step1: Analyze Joan's Earnings

Joan's father gave her $10 (assuming from context, since the inequality involves +10) and she earns $5 per hour (let \( x \) be hours) babysitting. Total money: \( 5x + 10 \). She needs at least $100 (≥100) for the calculator.

Step2: Match the Inequality

The situation translates to \( 5x + 10 \geq 100 \), as total earnings (babysitting + father's gift) must be greater than or equal to $100.

Answer:

\( 5x + 10 \geq 100 \) (the third option, assuming the options are ordered as shown: first \( 5x - 100 \geq 10 \), second \( 5x + 10 > 100 \), third \( 5x + 10 \geq 100 \), fourth \( 10x + 5 \leq 100 \))