Jessie saves $$ \$ 6 $$ each week. In how many weeks will she have saved at least $$ \$ 50 $$ ?

Question

UpStudy AI · Accepted Answer

Let $$ x $$ be the number of weeks. Since Jessie saves $$ \$6 $$ each week, after $$ x $$ weeks she will have saved

$$
6x \text{ dollars}.
$$

We need this amount to be at least $$ \$50 $$, so we set up the inequality:

$$
6x \geq 50.
$$

To solve for $$ x $$, divide both sides by 6:

$$
x \geq \frac{50}{6} = \frac{25}{3} \approx 8.33.
$$

Since $$ x $$ must be a whole number (as she saves weekly), Jessie must save for the next whole week after $$ 8.33 $$ weeks, which means she needs

$$
9 \text{ weeks}.
$$
Jessie needs to save for 9 weeks to have at least \$50.

Jessie saves \( \$ 6 \) each week. In how many weeks will she have saved at least \( \$ 50 \) ?