A large random sample of American students in seventh grade showed that 20%20\% 20% 20, percent of them were reading below grade
2 answers:
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Answer:
The coordinates of the point Q is (4, 1)
Step-by-step explanation:
The given parameters are;
The directed line segment extends from R(-2, 4), to S(18, -6)
The ratio in which the point Q partitions the directed line segment = 3:7
Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS
Which gives;
(-2 + (18-(-2))×3/10, 4 +(-6 -4)×3/10) which is (4, 1)
The coordinates of the point Q = (4, 1)
We check the length from R to S is given by the relation for length as follows
Where;
R(-2, 4) = (x₁, y₁)
S(18, -6) = (x₂, y₂)
Length of segment RS = 22.36
length from R to Q = 6.7086
We check RQ/RS = 6.7082/22.36 = 0.3
Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7
The coordinates of the point Q = (4, 1).
Option C: is the equation that have a greater rate of change.
Explanation:
From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)
We need to determine the rate of change.
The rate of change can be determined using the formula,
Substituting the any two coordinates in the formula, we get, the slope of the equation.
Let us substitute the coordinates (20,6) and (100,30)
Thus, we have,
Simplifying, we get,
Dividing, we get,
Also, the y - intercept of the equation is
The equation of the line becomes
Thus, the equation that has a greater rate of change is
Hence, Option C is the correct answer.