### Home > INT1 > Chapter 5 > Lesson 5.2.3 > Problem5-80

5-80.

Lona received a stamp collection from her grandmother. The collection is in a leather book and currently has $120$ stamps. Lona joined a stamp club, which sends her $12$ new stamps each month. The stamp book holds a maximum of $500$ stamps.

Month

Stamps

$0$

$120$

$1$

$132$

$2$

$3$

$4$

$5$

1. Complete the table above.

Continue adding $12$ to find months $2-5$.

2. How many stamps will Lona have one year from now?

Continue the table to month $12$.

3. Write an equation using function notation to represent the total number of stamps that Lona has in her collection after $n$ months. Let the total be represented by $t(n)$.

Remember that the initial amount was $120$ stamps and the rate is $12$ stamps per month.

$t(n)=120+12n$

4. Solve your equation from part (c) for $n$ when $t(n)=500$. Will Lona be able to fill her book exactly with no stamps remaining? How do you know? When will the book be filled?

Substitute $500$ for $t(n)$.

$500=120+12n$