Suppose y varies directly with x. Write an equation if y=75when x=25

y = 3x

Step-by-step explanation:

The standard format of a directly proportional equation goes by the format of y = k × x. The question asks us to write an equation if y = 75 when x = 25 and y varies directly with x.

So we substitute the values y = 75 and x = 25 in the equation y = k × x

K = constant, we have to work this out

75 = k × 25

75 ÷ 25 = k

k = 75 ÷ 25

k = 3

k = 3 So then we put this back into the original y = k × x to find our final equation which is y = 3x