Question #c40dd

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Answer 1 · 2017-08-15T21:37:49

42 weeks.

You will have $100 for every week: 100 multiplied by the number of weeks (which is $x$ $x$ ),

Plus the $2000 given to you,

Will equal your savings (which is $y$ $y$ ).

So your equation will be:

$y = 100 x + 2000$ $y = 100x + 2000$

Then you need to know how many weeks it will take to have $6200.

This means your savings ( $y$ $y$ value) should be at $6200 after a number of weeks ( $x$ $x$ value).

Substitute 6200 for $y$ $y$ :

$y = 100 x + 2000$ $y = 100x + 2000$

$6200 = 100 x + 2000$ $6200 = 100x + 2000$

Solve for $x$ $x$ :

$6200 = 100 x + 2000$ $6200 = 100x + 2000$

$6200 - 2000 = 100 x$ $6200 - 2000 = 100x$

$4200 = 100 x$ $4200 = 100x$

$\frac{4200}{100} = x$ $(4200)/100 = x$

$42 = x$ $42 = x$

Therefore it will take 42 weeks to save up for a car that costs $6200.