4 years ago

Evaluate the piecewise-defined function.

Mathematics

1 answer:

MissTica4 years ago

6 0

A.) f(-0.5) = 4(-0.5) = -2

b.) f(0) = 5 - 0 = 5

c.) f(4) = |4| = 4

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What is the constant of proportionality for 6,47.94?

Maurinko [17]

$\boxed{k=7.99}$

<h2>Explanation:</h2>

In this exercise, we have the following point:

$(6,47.94)$

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:

$y=kx$

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:

$Solving \ the \ equation \ for \ k: \\ \\ k\frac{y}{x} \\ \\ Where: \\ \\ x=6 \\ y=47.94 \\ \\ k=\frac{47.94}{6} \\ \\ \therefore \boxed{k=7.99}$