Answer:
(A) Christy saved $3 per week more than Kevin.
Explanation:
Before we even consider Christy's money, let's try and figure out a pattern for Kevin's money.
Before Kevin started saving, he had $0. Two weeks later, he had $46 dollars, meaning that he made $46 in that two weeks. By the fourth week, he had saved $92, which means that he made another $46 in those last two weeks (92-46=46). So far, it seems like Kevin is making $46 dollars every two weeks, or $23 per week ($46 / 2 weeks = $23 / week).
Now that we know this, let's make an equation to represent Kevin's savings.
Let's make "y" the amount he has saved to this day, and let's make "x" the number of weeks that have passed. But, Kevin is earning a certain amount per week ($23 per week), so lets stick it in alongside "x" so that we can figure out how much he makes at a given week. So, it looks like this so far:
y=23x
If we plug in the time and amount saved from the table, we can see that this works!
y=23x
92=23(4) (second line in the table)
92=92
This equation will work for Kevin's savings. Now, the question says that Christy is saving an amount equal to y=26x, where "x" is the number of weeks that have passed. Look familiar?
We learned that $23 was how much Kevin saved per week in the first part of the problem, and we modeled it as y=23x. Now, the problem tells us that Christy is saving y=26x, so she's saving $26 per week. If we subtract the two, we can find out the difference in their savings.
26-23=3,
meaning that Christy ($26) is saving 3 more dollars per week than Kevin.
Hope this helps!