Question

If y varies directly as x, and y=10 when x=2.4, find x when y=15.

Answer 1

Since "y varies directly as x", we know that y = k*x where k is some fixed number

Answer 2

we are told that "y=10 when x=2.4", so plug these values into the equation to get

y = k*x

10 = k*2.4

now solve for k and tell me what you get

Answer 3

would k = 4.16?

Answer 4

roughly, yes

Answer 5

so your equation y = k*x updates to y = 4.16*x (approximately)

Answer 6

once you know k, you can find x when given a certain value of y (or vice versa)

Answer 7

this time we need to find x when y = 15

y = 4.16*x

15 = 4.16*x

x = ??

Answer 8

x=3.60

Answer 9

good, that is the correct answer

Answer 10

ok thank you so much!

Answer 11

you're welcome