Question
Jessie saves \( \$ 6 \) each week. In how many weeks will she have saved at least \( \$ 50 \) ?
Ask by Newton Graham. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Jessie needs to save for 9 weeks to have at least \$50.
Solution
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
\[
9 \text{ weeks}.
\]
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Simplify this solution Beyond the Answer
To find out how many weeks Jessie needs to save at least \( \$50 \), you can set up the inequality \( 6w \geq 50 \), where \( w \) represents the number of weeks. Dividing both sides by 6 gives us \( w \geq \frac{50}{6} \approx 8.33 \). Since Jessie can't save for a fraction of a week, you'll round up to the nearest whole number. So, Jessie will need at least 9 weeks to save at least \( \$50 \). And just like that, Jessie can start counting down her weeks!
