What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:
Note that the distance between two points is equal to the length of the line segment that joins them.
So now we already have answers for two of the boxes.
The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.
So, the other two boxes should contain:
For the first day we have the following function:
f (n) = (0.3 * 10) n + 8
For the second day we have the following function:
f (n) = (0.4 * 10) n + 5
You spent the same amount of money as the day before:
(0.3 * 10) n + 8 = (0.4 * 10) n + 5
3n + 8 = 4n + 5
n = 8-5
n = 3 items
We evaluate each function for n = 3
f (3) = (0.3 * 10) * 3 + 8 = 17 $
f (3) = (0.4 * 10) * 3 + 5 = 17 $
The total amount of money is:
17 + 17 = 34 $
Answer:
you purchase 6 items
you spend at the craft store during the sale $ 34
4n - 3= -2n + 9
add 3n to both sides
4n= -2n +12
add 2n to both sides
6n= 12
divide both sides by 6
n= 2
Check:
4n-3=-2n+9
4(2)-3= -2(2)+9
8-3= -4+9
5=5
Hope this helps! :)
The answer will be 0.40 because 2 divided by 5 is 0.40
