If the average grade of an english class rose from 70 to 85, what is the approximate percent increase?
the percent increase is 14%.
the percent increase is 17%.
the percent increase is 21%.
the percent increase is 35%.

It is a percent increase because going from 70 to 85 is going from a smaller to a bigger number.

The percent increase is 21% approximately.

Step-by-step explanation:

The percent increase or decrease can be found by computing:

We have new=85 and original=70.

Plug in the given values into the formula:

Divide top and bottom by 5:

Putting 3 divided by 14 in my calculator gives:

0.2143 approximately

To convert to a percentage you multiply it by 100 which drags the deicmal over right 2 places:

21.43% approximately

Now let's see what happens if we do a 21.43% on 70. We should obtain something close to 85.

21.43% of 70=.2143*70=15.001

So 70+15.0001=85.001 which is approximately 85.

The approximate percent increase would be 21%

The answer and the work are attached in the image provided.

y > 1/3x

y < = -x + 4

hope this : )

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.