Solve the following proportion for y. Round your answer to the nearest tenth.
Check the final answer first, then review the worked steps.
Problem
Solve the following proportion for y. Round your answer to the nearest tenth.
Answer
13.1
Step-by-step solution
- Identify the proportion: The given proportion is $\frac{17}{13} = \frac{y}{10}$.
- Cross-multiply: To solve for $y$, we cross-multiply the terms of the proportion. This means multiplying the numerator of the first fraction by the denominator of the second fraction, and setting it equal to the product of the denominator of the first fraction and the numerator of the second fraction. So, we have $17 \times 10 = 13 \times y$.
- Simplify the equation: Performing the multiplication on the left side gives us $170 = 13y$.
- Isolate y: To find the value of $y$, we need to divide both sides of the equation by 13. This gives us $y = \frac{170}{13}$.
- Calculate the value of y: Now, we perform the division: $y \approx 13.076923...$
- Round to the nearest tenth: The problem asks us to round the answer to the nearest tenth. The digit in the tenths place is 0, and the digit in the hundredths place is 7. Since 7 is greater than or equal to 5, we round up the tenths digit. Therefore, $y \approx 13.1$.