The cube of y varies directly as z. When y = 8, z = 8. Heather’s work finding the value of y when z = 64 is shown: y^3 = kz

8 = k x 8

1 = k

y^3 = 1 x 64

y^3 = 64

y = 4

What is the first error, if any, in Heather’s work?

A. She did not make any errors.

B. She substituted incorrectly when calculating the constant of variation.

C. She cubed the wrong variable when making her equation.

D. She used an equation that models inverse variation instead of direct variation.

Step-by-step explanation:

If the cube of y varies directly as z, then;

y³ ∝ z

y³ = kz

k is the constant of proportionality

y³ = kz

When y = 8, z = 8.

8³ = 8k

k = 8³ /8

k = 64

To get the value y when z = 64, we will have;

y³ = kz

y³ = 64(64)

y³ = 4096

y= ∛4096

y = 16

Hence the value of y is 16

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315