Question

sylvia set a goal of saving at least $200 in a savings account. she currently has $60 in the account. if she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? x < 28; x > 28; x ≥ 28; x ≤ 20

Explanation:

Step1: Define the variable and inequality

Let \( x \) be the number of weeks. The total amount saved is the initial amount plus the weekly savings, and it needs to be at least \( \$200 \). So the inequality is \( 60 + 5x \geq 200 \).

Step2: Solve the inequality

Subtract 60 from both sides: \( 5x \geq 200 - 60 \)
\( 5x \geq 140 \)

Step3: Divide both sides by 5

\( x \geq \frac{140}{5} \)
\( x \geq 28 \)

Answer:

\( x \geq 28 \) (corresponding to the orange option: \( x \geq 28 \))