If y varies directly as x and y=60 when x=12, find y if x=35

y=175

Step-by-step explanation: y&x

y=kx

(Where k is a constant)

When y=60,x=12...we have

60=12k

Divide both side by 12

12k/12=60/12

k=5

Equation becomes y=5k

Finding y when x=35

y=5(35)

y=175

y = 175

Step-by-step explanation:

Case condition: y ∝ x

∴ y = 60  when x = 12

  y = ?     when x = 35

since the relationship is direct, then use cross multiplication method.

60 = 12

?  = 35

Therefore,

? x 12 = 35 x 60

? x 12 = 2100

divide through by 12 to make '?' the subject

? = 2100/12

? = 175

Therefore Y = 175 when x = 35

you have 6 cupcakes

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).