Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is represented by the inequality 600 − 20w > 300. How many weeks can Jenny continue to withdraw $20 from her account?

14

17

20

22

Verified Answer :

600 - 20w > 300
-20w > 300 - 600
-20w > - 300
20w < 300
w < 300/20
w < 15

Therefore, Jenny can withdraw $20 from her account for 14 weeks

Answer:

14 weeks

Step-by-step explanation:

Given : The number of weeks, w, that Jenny can withdraw money from her account is represented by the inequality 600 − 20w > 300.

To Find: How many weeks can Jenny continue to withdraw $20 from her account?

Solution:

Expression: 600 − 20w > 300.

Now we are supposed to find for how many weeks can Jenny continue to withdraw $20 from her account.

So, \(600 -20w > 300\)

\(-20w > 300-600\)

\(-20w <-300\)

\(20w< 300\)

\(w<\frac{300}{20}\)

\(w<15\)

Thus jenny can continue for less than 15 weeks .

So, Option A is correct.

Hence Jenny can continue for 14 weeks to withdraw $20 from her account.