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Your local bank offers free checking for accounts with a balance of at least 500 dollars. Suppose you have a balance of 516.46 dollars and you write a check for 31.96 dollars. How much do you need to deposit to avoid being charged a service fee? Write an Inequality and solve it.

Respuesta :

Answer:

You need to deposit a minimum of $15.50 to avoid being charged a service fee.

[tex]\text{ \$15.50}[/tex]

Explanation:

Let x represent the amount needed to be deposited to avoid being charged a service fee.

Given;

Initial balance = 516.46 dollars

Amount on cheque to be withdrawn = 31.96 dollars

Minimum amount to avoid being charged = 500 dollars

So we have;

[tex]\begin{gathered} 516.46-31.96+x\ge500 \\ 484.50+x\ge500 \\ x\ge500-484.50 \\ x\ge15.50 \\ x\ge\text{ \$15.50} \end{gathered}[/tex]

Therefore, you need to deposit a minimum of $15.50 to avoid being charged a service fee.

[tex]\text{ \$15.50}[/tex]

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