If y varies directly as x and y is 180 when x is n and y is n when x is 5, what is the value of n?

Answer

Find out the value of n .

To proof

As given

y varies directly as x

thus

y = kx

Where k is the constant of proportionality .

As given

y is 180 when x is n

180 = kn

y is n when x is 5

n = 5k

Compare the value of k .

solving

n² = 900

n = √900

n = 30

Therefore the value of n is 30 .

Hence proved

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph