Question

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

Answer 1

14 weeks

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<(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.

Answer 2

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