Casey is reading a book for a book report. at 3: 30 p. m., he started reading where he had left off the day before.

at 5: 30 p. m. he was on page 160. at 8: 00 p. m. he was on page 280. if reading the book is modeled by a linear function, what page did casey start on at 3: 30 p. m.?

a) 60
b) 64
c) 70
d) 74

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