1. Write a ratio and a percent for the shaded area
(1 is shaded 0 is not shaded)
1 1 0 0
1 1 0 0
1 0 0 0
0 0 0 0
a. 1/5, 25%
b. 5/16, 31.25% <<
c. 1/4, 20%
d. 1/4, 25%
2. Model 24% on a 5x5 grid
a.
1 1 0 0 1
0 0 0 0 0
0 0 0 0 1
0 0 1 0 0
0 0 0 0 0
b.
0 0 0 0 0
1 0 1 0 0
0 1 0 0 0
0 0 1 0 0
1 0 0 0 1
c.
0 1 0 0 1
1 0 0 1 0
0 0 1 1 0
0 0 0 0 0
0 0 0 0 1
d.
1 0 1 1 1
1 1 1 0 1
1 1 1 1 1
0 1 1 1 0
1 1 1 1 0
i failed bc of you
To answer question 1, you need to count the number of shaded squares and the total number of squares in the grid.
1. Counting the shaded squares: In the given grid, there are 5 shaded squares.
2. Counting the total number of squares: In the given grid, there are a total of 16 squares, as there are 4 rows and 4 columns, which multiplies to 16.
3. Writing the ratio: The ratio of shaded squares to the total number of squares is 5:16.
4. Converting the ratio to a percent: To convert the ratio to a percent, you divide the numerator (5) by the denominator (16) and then multiply by 100. The calculation is (5/16) * 100 = 31.25%.
Therefore, the ratio and percent for the shaded area in question 1 is 5/16 and 31.25% respectively. Option b is correct.
Moving on to question 2, you need to model 24% on a 5x5 grid. Here's how:
1. Calculate the total number of squares in a 5x5 grid: It is simply 5 multiplied by 5, which equals 25.
2. Determine how many squares need to be shaded to represent 24%: To find this, you multiply the total number of squares (25) by the percentage (24%) and then divide by 100. The calculation is (25 * 24) / 100 = 6.
3. Representing 6 shaded squares on the grid: Shade any 6 squares on the 5x5 grid to show 24% of the total area.
Now, let's see which option matches this representation.
b.
0 0 0 0 0
1 0 1 0 0
0 1 0 0 0
0 0 1 0 0
1 0 0 0 1
In this representation, there are six shaded squares.
Therefore, option b matches the representation of 24% on a 5x5 grid.
1.
yes
2.
5 by 5 grid is 25
24/100 = 6/25
b has 6
1.D
2.B
3.C
4.D
5.A
6.C
7.A
8.D
9.B
10.D
11.D
12.A
13.C
14.D
15.D
16.D
17.C
18.D
19.C
20.B
21.D