here 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.
To determine the minimum amount Carlos needs to earn each Saturday morning, we need to calculate the total earnings in four weeks (28 days).
Since there are 4 weeks in a month, and Carlos earns each Saturday morning, the total number of Saturdays in four weeks is 4.
To have at least $200 in four weeks, Carlos needs to earn a minimum of 200/4 = $50 each Saturday morning.
Carlos is hoping 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.(2 points)
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.
The inequality for the amount of money Carlos will need to earn each Saturday morning is:
x + 30 ≥ 200
In this inequality, x represents the amount Carlos earns each Saturday morning. The inequality states that the amount Carlos earns, plus the $30 his mom gives him, must be greater than or equal to $200 in order for Carlos to save at least $200 in the next four weeks.
The solutions to this inequality would be any value of x that satisfies the condition x + 30 ≥ 200. In other words, any amount Carlos earns each Saturday morning that, when added to the $30 from his mom, is greater than or equal to $200, will allow Carlos to save at least $200 in the next four weeks.
To find the minimum amount Carlos needs to earn each Saturday morning to have at least $200 in four weeks, we need to set up an equation.
Let's assign a variable to the amount Carlos earns each Saturday morning. We'll call it x.
Carlos earns x each Saturday morning, and there are four weeks in total. So, Carlos will earn a total of 4x in four weeks.
According to the problem, Carlos must earn at least $200 in four weeks. So, we can write the equation:
4x >= 200
To find the minimum value of x, we will solve this inequality for x.
Divide both sides of the inequality by 4:
x >= 200/4
Simplifying the right side:
x >= 50
Therefore, Carlos needs to earn at least $50 each Saturday morning to have at least $200 in four weeks.