Which situation is most likely to have a constant rate of change? a. length of a bead necklace compared with the number of identical beads b. distance a school bus travels compared with the number of stops c. number of trees in a park compared with the area of the park d. number of runs scored in a baseball game compared with the number of innings

A. Length of a bead necklace compared with the number of identical beads

Step-by-step explanation:

A. Length of bead necklace increases simultaneously compared with the increases in number of identical beads . This is a proportional relationship .

So, There is constant rate of change which is equals to the length of each bead.

B. Distance a school bus travels compared with the number of stops .

There is no constant rate of change between the quantities .[The time when bus stops matter]

C.Number of trees in a park compared with the area of the park.

There can be free space ,so there is not proportional relationship .

D.Number of runs scored in a baseball game compared with the number of innings

Not proportional relationship.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

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'.