[tex]\boxed{k=7.99}[/tex]
Explanation:
In this exercise, we have the following point:
[tex](6,47.94)[/tex]
Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:
[tex]y=kx[/tex]
As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:
[tex]Solving \ the \ equation \ for \ k: \\ \\ k\frac{y}{x} \\ \\ Where: \\ \\ x=6 \\ y=47.94 \\ \\ k=\frac{47.94}{6} \\ \\ \therefore \boxed{k=7.99}[/tex]
Learn more:
Direct and indirect proportionality: https://brainly.com/question/10945121
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