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David started with $118.50 in his checking account. Once each week, he can deposit his paycheck of $75.50 into his checking account with extra earnings from his job. When his checking account reaches at least $1100, he plans to open a savings account. How many full weeks will it be before David can open a savings account?

Respuesta :

We will determine the number of weeks as follows:

*First: From the text, we have the following expression:

[tex]1100\le75.50w+118.50[/tex]

Here w represents the number of weeks.

*Second: We solve for w:

[tex]\Rightarrow75.50w\ge981.5\Rightarrow w\ge13[/tex]

So, it will take David at least 13 weeks.

***Procedure:

[tex]1100\le75.50w+118.50\Rightarrow1100-118.50\le75.50w+118.50-118.50[/tex][tex]981.50\le75.50w\Rightarrow\frac{981.50}{75.50}\le\frac{75.50w}{75.50}[/tex][tex]\Rightarrow13\le w[/tex]

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