To find the percentage of change, we find the percentage of the final value, considering the initial valuie is 100%, and then we subtract 100% by the percengate found.

In this question:

Initial price of $3.25 per gallon, which is 100% = 1.

Final value of $1.30, which is x. So

$3.25 - 1

$1.30 - x

$3.25x = 1.30$

$x = \frac{1.30}{3.25}$

$x = 0.4$

The initial value of 0.4 = 40% of the initial value.

So the percent of change is a decrease of 100% - 40% = 60%, that is, -60%.

7 0

2 years ago

This relation is an inverse variation. {(–1, 8), (4, –2), (–2, 4)} Which equation represents this relation?

SOVA2 [1]

Answer:

$y = -\frac{8}{x}$

Step-by-step explanation:

Given

Inverse Variation:

$Points: \{(-1, 8), (4, -2), (-2, 4)\}$

Required

Determine the equation of the relation

An inverse relation is represented as:

$y = \frac{k}{x}$

Where k = constant of variation

Make k the subject:

$k = xy$

When x = -1, y = 8

So, we have:

$k = -1 * 8$

$k = -8$

When x = 4, y = -2

$k = 4 * -2$

$k = -8$

When x = -2, y = 4

$k= -2 * 4$

$k = -8$

From above calculations, we've established that:

$k = -8$

Substitute -8 for k in $y = \frac{k}{x}$

$y = \frac{-8}{x}$

$y = -\frac{8}{x}$

Hence, the equation is:

$y = -\frac{8}{x}$

7 0

2 years ago