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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?

2 Answers

2 votes

Answer:

He will have 175 stamps after 15 weeks of collecting stamps

Explanation:

I just used this and it was correct

User Catquatwa
by
8.2k points
4 votes

Answer:

He will have 175 stamps after 15 weeks

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 :
y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)


(x_1,y_1)=(3,35)\\(x_2,y_2)=(9,105)

Substitute the values in the formula :


y-35=(105-35)/(9-3)(x-3)


y-35=(35)/(3)(x-3)


3y-105=35x-105


y=(35)/(3)x

y is the no. of stamps

x is the no. of weeks

Substitute x =15


y=(35)/(3)(15)


y=175

Hence he will have 175 stamps after 15 weeks

User Brandwaffle
by
8.0k points
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