Answer:
x ⠀⠀200⠀⠀ ⠀500
y⠀⠀⠀ 11⠀⠀⠀⠀⠀a
As x directly varies with y
200 × a = 500 × 11
a = 5/2 × 11 = 27.5
Answer:
y = 27.5
Step-by-step explanation:
We know that directly proportional equations usually come in the format of
y = k × x where 'k' is the constant. In this problem we are presented with a directly proportional questions asking us to find y when x= 500 considering that y varies directly with x and x = 200 when y = 11. So let's substitute in the values
→ y = k × x
⇒ Substitute in the first set of values which is x = 200 and y = 11
→ 11 = k × 200
⇒ Divide both sides by 200 to isolate 'k'
→ 0.055 = k
Now we know that the constant is 0.055 we can substitute the second set of values in,
→ y = 0.055 × x
⇒ Substitute in the second value which is x = 500
→ y = 0.055 × 500
⇒ Simplify
→ y = 27.5
If y varies directly with x and x = 200 and y = 11, the value of y when x = 500 is 27.5
