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)

Question

blank x + blank
≥ blank
, 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.
Remaining Attempts : 3

I have three blanks to fill out

Answer 1

To determine how much Carlos needs to earn each Saturday morning to save at least $200 in four weeks, we can set up the inequality as follows:

1. Initial amount: Carlos starts with $30 (given by his mom).
2. Total savings needed: Carlos wants to save at least $200.
3. Earnings per Saturday: Let \( x \) be the amount Carlos earns each Saturday morning.
4. Total Saturdays in four weeks: There are 4 Saturdays in four weeks.

So, in total, Carlos will earn \( 4x \) over the four Saturdays. Therefore, we can write the inequality:

\[ 30 + 4x \geq 200 \]

Now we can fill in the blanks for your specific format:

The inequality is:

\[ 30 + 4x \geq 200 \]

So in your format, it looks like this:

Blank 1: 30
Blank 2: 4x
Blank 3: 200

Solutions Description:

To find out how much Carlos must earn each Saturday morning, we can solve the inequality:

1. Subtract 30 from both sides: \[ 4x \geq 200 - 30 \] \[ 4x \geq 170 \]

2. Divide both sides by 4: \[ x \geq \frac{170}{4} \] \[ x \geq 42.5 \]

This means Carlos must earn at least $42.50 each Saturday morning to ensure that he saves at least $200 in four weeks. Hence, the solution indicates Carlos's earnings must be no less than $42.50 each Saturday.