Question

A solid has volume 7 cubic units. The equation k =3 sq rt V/7 represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic units. Select all points which are on the graph representing this equation. Write each corresponding letter in the answer box and separate letters with commas. (I can show image if question is not clear)a) (0,0) b) (1,1) c) (1,7) d) m(7,1) e) (14,2) f) (49,2) g) (56,2) h) (27,3)

Answer 1

(7,1) and (0,0)

1) Gathering the data

V= 7 u³

2) Plugging into the equation the quantity of V:

`\begin{gathered} k=\sqrt[3]{(V)/(7)} \\ \\ k=\sqrt[3]{(7)/(7)} \\ K=1 \end{gathered}`

Note that according to this equation, the scale factor is 1.

3) Considering that the point is formed by (V, k) then the possible answers are:

(7,1) and (0,0)