Question

as an instructor at a g gym, stella earns 15$ per hour. she is planning to deposit 40% of her hourly earnings into her savings account. knowing that she has 150 dollars in her savings account, she wrote the inequality 150+ (0.40)15h<800 to find the number of hours,h, she would need to work to have at least $800 in her account. what changes should be made to the inequality to correct it?

Answer 1

The inequality to represent Stella's situation should use a 'greater than or equal to' sign to indicate that she wants her savings to be at least $800. The corrected inequality is 150 + (0.40)15h ≥ 800.

Step-by-step explanation:

Stella's inequality for determining the number of hours, h, she needs to work to have at least $800 in her savings account contains an error.

Currently, the inequality is written as 150 + (0.40)15h < 800.

However, the goal is for her total savings to be at least $800, which means the inequality should be written with a greater than or equal to sign (≥) instead of a less than sign (<).

The corrected inequality should be: 150 + (0.40)15h ≥ 800.

This indicates that Stella wants the total amount in her savings, which starts at $150 and increases by 40% of her $15 hourly wage, to be greater than or equal to $800 after working h hours.