Question

solve the following proportion for y.
\frac{17}{8} = \frac{y}{9}
round your answer to the nearest tenth.
y = \square

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{17}{8}=\frac{y}{9}\), cross - multiplying gives us \(17\times9 = 8\times y\).
\(153 = 8y\)

Step2: Solve for y

To solve for \(y\), we divide both sides of the equation \(153 = 8y\) by 8.
\(y=\frac{153}{8}\)
\(y = 19.125\)

Step3: Round to the nearest tenth

Rounding \(19.125\) to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 2, which is less than 5, so we keep the tenths place digit as it is.
\(y\approx19.1\)

Answer:

\(19.1\)