![To determine the value of \( y \) when \( x = 28 \), we first establish the relationship of direct proportionality.
Given:
- \( y \) is directly proportional to \( x \), we can express this as \( y = kx \) where \( k \) is the constant of proportionality.
- When \( x = 3.5 \), \( y = 14 \).
First, we find \( k \):
\[
k = \frac{y}{x} = \frac{14}{3.5} = 4
\]
Now, we can use this value of \( k \) to find \( y \) when \( x = 28 \):
\[
y = kx = 4 \times 28 = 112
\]
Thus, the value of \( y \) when](https://theinternetioimages-f2htc2ggcrath6d7.z01.azurefd.net/$web/askai/d42d0371-e295-4b1a-9f00-06c257cec9a9.webp)
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Question: the value of y is directly proportional to the value of x. when x=3.5, the value of y is 14. what is the value of y when x=28?
Asked by Hafiz
Since \( y \) is directly proportional to \( x \), we can write the relationship as: \[ y = kx \] where \( k \) is the constant of proportionality. First, we need to find the value of \( k \) using the given values when \( x = 3.5 \) and \( y = 14 \). \[ 14 = k \cdot 3.5 \] To find \( k \): \[ k = \frac{14}{3.5} = 4 \] Now that we have the constant of proportionality, we can use it to find the value of \( y \) when \( x = 28 \). \[ y = kx \] \[ y = 4 \cdot 28 \] \[ y = 112 \] Thus, the value of \( y \) when \( x = 28 \) is 112.
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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user Hafiz's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
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