Carlos hopes to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Saturday morning at his grandmother’s store. Write an inequality for the amount of money Carlos will need to earn each Saturday morning and describe the solutions. Assume Carlos will earn the same amount each Saturday morning.
___ x +___≥___, where x is the amount Carlos earns each Saturday morning. Carlos must earn at least $ each Saturday morning to have at least $200 in four weeks.
Let's say Carlos earns $x each Saturday morning.
In four weeks, there are a total of 4 Saturdays. Therefore, Carlos will earn $x each Saturday for 4 weeks, which can be represented as 4x.
Carlos already has $30 from his mom, so he needs to earn at least $200 - $30 = $170.
Putting all of this together, the inequality to represent the amount of money Carlos will need to earn each Saturday morning is:
4x + 30 ≥ 170
The solutions to this inequality are all values of x that satisfy the inequality and will allow Carlos to save at least $200 in four weeks.