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

Answer 1

To find the inequality for the amount of money Carlos needs to earn each Saturday morning, let \( x \) represent the amount Carlos earns each Saturday morning.

Carlos wants to save at least $200 over the next four weeks, and he has already received $30 from his mom. Therefore, the total amount Carlos needs to earn from working at his grandmother's store over the next four Saturdays must be at least:

\[ 200 - 30 = 170 \]

Since he earns \( x \) dollars each Saturday for 4 Saturdays, the total amount he will earn in four weeks can be expressed as \( 4x \). To ensure he meets his goal of at least $200, we can write the inequality as:

\[ 30 + 4x \ge 200 \]

Now, subtracting 30 from both sides gives us:

\[ 4x \ge 170 \]

Next, we can divide both sides by 4:

\[ x \ge \frac{170}{4} \]

Calculating the right side, we get:

\[ x \ge 42.5 \]

So the final inequality is:

\[ x \ge 42.5 \]

This means that Carlos must earn at least $42.50 each Saturday morning in order to have at least $200 saved by the end of four weeks.