Question 1 :
In a direct variation y = 12 when x = 2. Write the direct variation equation that shows the relationship between x and y.
Question 2 :
In a direct variation y = 300 when x = 5. Write the direct variation equation that shows the relationship between x and y.
Question 3 :
In a direct variation y = 12 when x = 40. Write the direct variation equation that shows the relationship between x and y.
Question 4 :
In a direct variation y = 4 when x = 15. Write the direct variation equation that shows the relationship between x and y.
Question 5 :
In a direct variation y = 48 when x = 16. Write the direct variation equation that shows the relationship between x and y.
1. Answer :
Equation of direct variation :
y = kx -----(1)
Substitute x = 2 and y = 12.
12 = k(2)
12 = 2k
Divide each side by 2.
6 = k
Substitute k = 1 in (1)
y = 6x
2. Answer :
Equation of direct variation :
y = kx -----(1)
Substitute x = 5 and y = 300.
300 = k(5)
300 = 5k
Divide each side by 5.
60 = k
Substitute k = 60 in (1).
y = 60x
3. Answer :
Equation of direct variation :
y = kx -----(1)
Substitute x = 40 and y = 12.
40 = k(12)
40 = 12k
Divide each side by 12.
10/3 = k
Substitute k = 10/3 in (1).
y = (10/3)x
4. Answer :
Equation of direct variation :
y = kx -----(1)
Substitute x = 15 and y = 4.
4 = k(15)
4 = 15k
Divide each side by 15.
4/15 = k
Substitute k = 4/15 in (1).
y = (4/15)x
5. Answer :
Equation of direct variation :
y = kx -----(1)
Substitute x = 16 and y = 48.
48 = k(16)
48 = 16k
Divide each side by 16.
3 = k
Substitute k = 3 in (1).
y = 3x
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