Miguel has $80 in his bank and saves $2 a week. Jesse has $30 in his bank but saves $7 a week. In how many weeks will Jesse have more in his bank than Miguel?
Set up the Bank value B(w) for Miguel where w is the number of weeks
B(w) = Savings Per week * w + Current Bank Balance
B(w) = 2w + 80
Set up the Bank value B(w) for Jesse where w is the number of weeks
B(w) = Savings Per week * w + Current Bank Balance
B(w) = 7w + 30
The problem asks when Jesse's account will be more than Miguel's. So we set up an inequality where:
7w + 30 > 2w + 80
To solve this inequality, we type it in our search engine and we get:
w > 10
Set up the Bank value B(w) for Miguel where w is the number of weeks
B(w) = Savings Per week * w + Current Bank Balance
B(w) = 2w + 80
Set up the Bank value B(w) for Jesse where w is the number of weeks
B(w) = Savings Per week * w + Current Bank Balance
B(w) = 7w + 30
The problem asks when Jesse's account will be more than Miguel's. So we set up an inequality where:
7w + 30 > 2w + 80
To solve this inequality, we type it in our search engine and we get:
w > 10