00:01
This problem says a student has a savings account of $475 in it, and she deposits 125 of her paycheck into the account every week.
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Her goal is to save $7 ,000 for college.
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How much will be in the account after three weeks? how long will it take before she has $1 ,350 in the account? and we want to write an equation that represents this relationship between the dollar amount and her account, the number of weeks, and savings, and then finally figure out how long it's going to take for her to reach her goal.
00:26
So the equation that we're going to use where we'll say y is the amount that's in her savings account is equal to the $475 that she already has in the account plus $125 of her paycheck that she puts in every week.
00:42
So we'll say x is the number of weeks.
00:46
And remember that y is the total amount in our bank account.
00:49
So in our savings account.
00:50
So the first question says, how much will she have in the account after three weeks? so to answer that, to find that final answer for why, we'll leave 475 alone because that doesn't change from week to week.
01:01
But what does change is how many 125s we put in.
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So after three weeks, she will have deposited that $125 three times.
01:10
And that gives us that her final amount after the three weeks would be $850.
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So that answers our first question.
01:21
For our next question, we wanted to know how long will it take before she has? that's 1 ,350.
01:26
This time we're going to replace y with 1 ,350 and solve for the x to figure out how many weeks it would take to get to that level...