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Answer:
D.
Step-by-step explanation:
1. Answer A:
15 students signed up for violin lessons (4 boys + 11 girls)
15 / 70 = approx. 21% of the class.
Answer A says 28%, so this is incorrect.
2. Answer B:
17 students signed up for drum lessons (11 boys + 6 girls)
17/70 = approx. 24%
B says 17% signed up for drums, so this is incorrect.
3. Answer C.
Wrong because more girls signed up for piano lessons (15 girls, whereas only 9 boys signed up for piano)
4. D. The same percent of boys and girls are taking guitar lessons.
Get the total number of boys and girls in the class (just add the results for each separately for all instruments)
Boys: 11 + 6 + 9 + 4 = 30
Girls: 6+8+15+11 = 40
6 out of 30 boys signed up for guitar
6/30= 20%
8 out of 40 girls signed up for guitar
8/40 = 20%
Answer is D
Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
