Question

If x is directly proportional to y and x = 25 and y = 35. Find the values of
a) constant of variations
b) y, if x = 125

c) X, if y = 56​

Answer 1

Answer:

x=ky where k is constant. put the values of x and y, in the following equation

25=k35

k=25/35=5/7

Then the equation becomes

x=(5/7)y

If x=125,

125=(5/7)y

y=125/(5/7)=125×7/5=175

If y=56, then

x=(5/7)56=5×56/7=40

Answer 2

Answer:

a) 5/7

b) 175

c) 40

Step-by-step explanation:

$a) \\ y \: is \: always \: a \: constant \: times \: x \: = \\ \frac{5}{7} \\ \\ b)y \: if \: x = 125 \\ 125 = \frac{5}{7}y \\ y = 125 \times \frac{7}{5} \\ y = 25 \times 7 \\ y = 175 \\ \\ c)x \: if \: y \: = 56 \\ x = \frac{5}{7} \times 56 \\ x = \frac{56}{7} \times 5 \\ x = 8 \times 5 \\ x = 40$