In a second grade classroom, a student earns 25 stars for 5 compliments for good behavior. The teacher tracks the number of stars (y, vertical axis) and compliments (x, horizontal axis) on a graph. Which statements are correct? Choose more than 1 answer.

Question

options:

A) Point (20, 100) represents earning 20 compliments.

B) Point (100, 20) represents earning 20 compliments.

C) Point (5, 1) represents the unit rate.

D) Point (1, 5) represents the unit rate.

E) Point (0, 50) represents the unit rate.

Answer 1

A) Point (20, 100) represents earning 20 compliments.

C) Point (5, 1) represents the unit rate.

Answer 2

Find the slope of the given line using similar triangles.

(0,0) (4,1) (8,2)

Answer 3

To find the slope of the given line using similar triangles, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (0,0) and (4,1):

x1 = 0
y1 = 0
x2 = 4
y2 = 1

slope = (1 - 0) / (4 - 0) = 1/4

Therefore, the slope of the given line is 1/4.

Answer 4

Two points on a graph are (-4, 1) and (0, 2). Identify the slope between these two points.

-4

4

−1 over 4

1 over 4

Answer 5

To find the slope between two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (-4, 1) and (0, 2):

x1 = -4
y1 = 1
x2 = 0
y2 = 2

slope = (2 - 1) / (0 - (-4)) = 1 / 4

Therefore, the slope between these two points is 1/4.