Question

Glenn has $1,250 in his savings account. In order to avoid bank fees, Glenn must keep a minimum $ 150 in his account. His cell phone costs him $35 per month. Use an inequality to determine how many months Glenn can pay for his cell phone before he would incur fees?

Answer 1

Glenn can pay for his cell phone for 27 months before incurring fees.

Step-by-step explanation:

To determine the number of months Glenn can pay for his cell phone before incurring fees, we can set up an inequality. Let's assume that he can pay for x months before incurring fees. Glenn must keep a minimum of $150 in his account, so the amount of money available for paying the cell phone bill each month would be $1,250 - $150 = $1,100. Since the cell phone costs him $35 per month, the inequality becomes: $1,100 - $35x >= $150.

To solve this inequality, we can subtract $150 from both sides to isolate the variable: $1,100 - $150 - $35x >= $150 - $150, which simplifies to $950 - $35x >= $0. Next, we can subtract $950 from both sides: $950 - $950 - $35x >= $0 - $950, which simplifies to $0 - $35x >= -$950.

Finally, we divide both sides of the inequality by -35 (remember, dividing or multiplying by a negative number switches the inequality symbol): (-35x) / -35 <= -$950 / -35, which simplifies to x <= 27.14. Since Glenn cannot have a fraction of a month, the number of months he can pay for his cell phone before incurring fees is 27.

Answer 2

Step-by-step explanation:

To formulate an inequality, we must know what data the exercise gives us that allows us to establish the inequality.

For example:

total cost counts: 1250

minimum on account: 150

x is equal number of months

inequality remains as follows:

`150\ge x(35)=1250`

This is another possible inequality as suggested in the exercise,the basis for inequality is the minimum 150 that you must take into account.

`1250\ge35x\leq150`

Look, when it is equal to or less than 150 commission is charged.that's why I put it the first way.