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You have ​$85 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$15 from your paycheck. The equation b=85+​(15+7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$210 in your bank​ account?

Respuesta :

xKelvin

Answer:

6 weeks

Step-by-step explanation:

So the amount b we will have in our account w weeks from now is given by the equation:

[tex]b=85+(15+7)w[/tex]

To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:

[tex]210=85+(15+7)w[/tex]

Subtract 85 from both sides:

[tex]125=(15+7)w[/tex]

Add within the parentheses:

[tex]125=22w[/tex]

Divide both sides by 22:

[tex]w=125/22\approx5.68\approx6[/tex]

In other words, we will have $210 after approximately 6 weeks.

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