Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour.

Question

Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle?

$8.22 h < $623
$8.22 h > $623
$8.22 h ≥ $623
$8.22 h ≤ $623

Answer 1

To determine how many hours Sophia needs to work to afford the bicycle costing at least $623, we can set up an inequality based on her hourly wage of $8.22.

Let \( h \) represent the number of hours Sofia works. Her total earnings can be represented as \( 8.22h \). Since she needs to earn at least $623, we can write the inequality as:

\[ 8.22h \geq 623 \]

This means that her total earnings need to be greater than or equal to the cost of the bicycle.

Therefore, the correct inequality is:

\[ 8.22h \geq 623 \]