15. The resale value of a piece of artwork can be determined by the exponential function shown below. v(t)= 5,700(1.4)^t represents the resale value of the piece of artwork in dollars and t represents the number of years since the purchase of the piece of artwork, which statement represents the best interpretation of the meaning of the a and b values from the function? C) The a value of $5,700 represents the original cost of the piece of artwork, and the b value of 1.4 represents that for each year since its purchase, the value of the piece of artwork increases by 140%.

D) The a value of $5,700 represents the original cost of the piece of artwork, and the b value of 1.4 represents that for each year since its purchase, the value of the piece of artwork increases by 40%.

ye

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3