Amir is starting a stamp collection. after 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. if amir keeps collecting stamps at this same rate, how many stamps will he have after 15 weeks?

He will have 175 stamps after 15 weeks

Step-by-step explanation:

After 3 weeks he has collected 35 different stamps

(3,35)

After 9 weeks he has collected 105 different stamps

(9,105)

We are given that supposed to find how many stamps will he have after 15 weeks

Formula :

Substitute the values in the formula :

y is the no. of stamps

x is the no. of weeks

Substitute x =15

Hence he will have 175 stamps after 15 weeks

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2