Given:
The graph of a proportional relationship.
To find:
The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.
Solution:
If y is directly proportional to x, then
...(i)
Where, k is the constant of proportionality.
The graph of proportional relationship passes through the point (5,15).
Substituting x=5 and y=15 in (i), we get
Therefore, the constant of proportionality is 3.
Substituting k=3 in (i) to get the equation of the proportional relationship.
...(ii)
Substituting x=24 in (ii), we get
Therefore, the value of y is 72 when x is 24.
Substituting y=108 in (ii), we get
Therefore, the value of x is 36 when y is 108.
<u>Answer</u>
B(18/5,0)
<u>Explanation</u>
First we find the coordinates of C;
C (x, y) = [(-3+7)/2, (2+6)/2]
= (2, 4)
Find the equation of CD.
slope = (6-2)/(7--3)
= 4/10 = 2/5
slope of CD = -5/2
-5/2 = (y - 4)/(x - 2)
-5/2(x - 2) = y - 4
(-5/2) x + 5 = y - 4
y = (-5/2)x + 9
For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
B, 4% .
Find this by using the Interest Formula:
I = P X R X T
I = 7500 X .OO4 X 3
I = 900
Answer:
It would be the side opposite the smallest angle.
Side DE (which is opposite angle F) is the shortest.
Step-by-step explanation:
If the sale was for 30% off, then she paid 70% of the regular price
100%-30%=70% or 0.70
72*0.70=$50.40
Answer= $50.40
