Q:

Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle? $8.22h > $623 $8.22h ≤ $623 $8.22h ≥ $623 $8.22h < $623

Accepted Solution

A:
$8.22h ≥ $623 Let's look at the options and see what works and what doesn't. $8.22h > $623 * This inequality mostly works and it's true. But there may be a better choice later. So let's hold off on this one. $8.22h ≤ $623 * That less than or equal has issues. Let's buy the bike if I have less money than what's needed? Nope, not gonna work. Although that equal portion does have an element of truth to it. But this is a bad choice. $8.22h ≥ $623 * And this third option is better than the first. It simply says that you have to have enough or more money to buy the bike. The 1st equation basically said you have to have more money than the cost of the bike. So this is the correct choice. $8.22h < $623 * This is worse than the 2nd option. In a nutshell, is says buy the bike when you don't have enough money. So bad choice.