Question
Instruction: circle the right answer for each question (1point each). 1. \( 1 x \) and \( y \) vary directly and \( x=15 \) when \( y=27 \). What is the value of y when \( x=25 \) ? a 36 b. 45 c 50 d. 54
Ask by Fleming Todd. in China
Jan 13,2025
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Answer
When \( x = 25 \), \( y = 45 \).
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Beyond the Answer
To find the value of \( y \) when \( x=25 \) using direct variation, we first need to establish the constant of variation \( k \). Given that \( y = kx \) and \( y = 27 \) when \( x = 15 \), we can find \( k \): \[ k = \frac{y}{x} = \frac{27}{15} = \frac{9}{5} \] Now that we have \( k \), we can find \( y \) when \( x=25 \): \[ y = kx = \frac{9}{5} \times 25 = 45 \] So, when \( x = 25 \), \( y = 45 \). The correct answer is **b. 45**.