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A-37.

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.

1. Complete the table at right.

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 $t(n)$.

$500=120+12n$ Month Stamps Month row 1$0$ stamps row 1$120$ Month row 2$1$ stamps row 2$132$ Month row 3$2$ stamps row 3 blank Month row 4$3$ stamps row 4 blank Month row 5$4$ stamps row 5blank Month row 6$5$ stamps row 6blank