SOLUTION: Can you help me with this question it says: At the beginning of the summer, Sarah has $250. She takes a summer job and saves $150 per weeek. Felicia has $1,650 at the beginning of

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Question 702397: Can you help me with this question it says:
At the beginning of the summer, Sarah has $250. She takes a summer job and saves $150 per weeek. Felicia has $1,650 at the beginning of the summer. She travels during the summer and spends $200 per week. Can you write an equation that represents the amount of money Sarah has at the end of each week and for Felicia. Grapgh the two equation and do they have the same amount of money at the end of a specific week?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let be the Sarah function and be the Felicia function. Then let represent the number of weeks after the beginning of summer.

The is the amount of money Sarah has after weeks. Since she starts with $250 and increases $150 each week, we can write:



Likewise, for Felicia (but this time reducing the amount each week):



Draw your grid so that you have 1 week increments horizontally and either $50 or $100 increments vertically (otherwise you'll need a scroll as long as Santa's naughty list to get it all on one piece of paper).

Pick a small value for , substitute into the Sarah function. Do the arithmetic to calculate the value of the function, then create an ordered pair, . Plot the point. Repeat with a new value of . Draw a line through your two points.

Repeat the whole process with .

If the two lines intersect, then the ordered pair that describes the intersection point gives you the week number after which the bank accounts will be equal and the value of each of the accounts at that time.

John

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