Y is directionally proportial to x, when y = 30 and x = 6, work out an equation connecting x and y

y = 5x

Step-by-step explanation:

The standard equation for directly proportional equations is y = kx. We can see that y is directionally proportional to x when y = 30 and x = 6 and we need to work out an equation connecting x and y.

→ First step is to substitute in the values

y = k × x

30 = k × 6

→ Divide both sides by 6 to isolate k and find the value of k

5 = k

k = 5

→ Now we substitute k = 5 back into y = kx

y = 5x

here the number -5 is all of the following except a rational number.

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1