If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
1 answer:
Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Step-by-step explanation:
Since we have given that
y varies directly as x.
If y = 18, when x = 5.
So, we need to find the value of y when x is 11.
According to question, we get that
![\dfrac{y}{x}=\dfrac{18}{5}=\dfrac{y}{11}\\\\18\times 11=5y\\\\198=5y\\\\\dfrac{198}{5}=y\\\\y=39.6](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D%3D%5Cdfrac%7B18%7D%7B5%7D%3D%5Cdfrac%7By%7D%7B11%7D%5C%5C%5C%5C18%5Ctimes%2011%3D5y%5C%5C%5C%5C198%3D5y%5C%5C%5C%5C%5Cdfrac%7B198%7D%7B5%7D%3Dy%5C%5C%5C%5Cy%3D39.6)
Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
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