Question

If y is directly proportional to x and y = 48 when x = 35, find y if x = 18. (Round off your answer to the nearest hundredth.)Answer

Answer 1

y=24.69

Step-by-step explanation

Direct proportion is the relation between two quantities where the ratio of the two is equal to a constant value

`\begin{gathered} y=kx \\ wher\text{e k is the constant} \end{gathered}`

so

Step 1

find the constant

a)let

`\begin{gathered} y=48 \\ x=35 \end{gathered}`

b) now, replace and solve for k

`\begin{gathered} y=kx \\ 48=k*35 \\ divide\text{ both sides by 35} \\ (48)/(35)=(k*35)/(35) \\ (48)/(35)=k \end{gathered}`

so, the relation is

`y=(48)/(35)x`

Step 2

now, find y if x= 18

so

a) let

`x=18`

b) now, replace in the relation

`\begin{gathered} y=(48)/(35)x \\ y=(48)/(35)*18 \\ y=24.6857 \\ rounded \\ y=24.69 \\ \end{gathered}`

so, the answer is

y=24.69

I hope this helps you