X varies directly as y, and x = 153 when y = 9. Find x when y = 13.
2 answers:
Answer:
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
Step-by-step explanation:
As given
x varies directly as y.
x = ky
Where k is the constant of proportionality.
As given
x = 153 when y = 9
Put in the above
153 = 9k
k = 17
Now Find out the value of x when k = 17 and y = 13.
x = ky
x = 17 × 13
x = 221
The value of x is 221 when k = 17 and y = 13.
Therefore the Option (C) is correct .
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Answer:
The constant of proportionality is
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴
∴
→ Simplify the fraction by dividing up and down by 2
∴
∴ The constant of proportionality is