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Glenn has $1250 in his savings account. In order to avoid bank fees, glen must keep a minimum of $150 in his account. His cellphone costs him $35 per month. Use inequality to determine how many months Glenn can pay for his cell phone before he would incur fees

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Sprnt

Answer:

31 months.

Step-by-step explanation:

1. Create the inequation.

Let "x" be the time (in months). Hence, the equation should look like this:

[tex]1250-35x\geq 150[/tex].

2. Substract 1250 from both sides of the equation.

[tex]-1250+1250-35x\geq 150-1250\\ \\-35x\geq-1100[/tex]

3. Multiply both sides of the inequation by -1 and inverse the comparison symbol.

[tex](-1)(-35x)\geq(-1100)(-1)\\ \\35x\leq 1100\\[/tex]

4. Divide both sides by 35.

[tex]\frac{35x}{35} \leq \frac{1100}{35} \\\\x=\frac{220}{7}= 31.43[/tex]

5. Conclude.

The result of the inequation is 31.43. Since we are talking about time (in months), it would be more appropiate to say that Glenn can pay his phone for 31 months, because the balance on his account won't be enough to cover the 32th month without being charges with fees from the bank.

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