High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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.

a. Complete the table at right.
b. How many stamps will Lona have in one year from now?
c. 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 \(t(n)\).

| Month | Stamps |
|-------|--------|
| 0 | 120 |
| 1 | 132 |
| 2 | |
| 3 | |
| 4 | |
| 5 | |

Answer :

Using a linear function, it is found that:

a. The table is completed as follows: Month 2, Stamps 144; Month 3, Stamps 156; Month 4, Stamps 168; Month 5, Stamps 180.

b. She will have 264 stamps after one year.

c. The function is given by: t(n) = 120 + 12n.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

  • m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.
  • b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).

For the function in this problem, we have that:

  • The intercept is of 120, as the initial value is of 120 stamps.
  • The slope is of 12, as 12 stamps are added each month to the collection.

Hence the function is given by:

t(n) = 120 + 12n.

To complete the table, we find the numeric values are follows:

  • t = 2, t(2) = 120 + 12(2) = 144.
  • t = 3, t(3) = 120 + 12(3) = 156.
  • t = 4, t(4) = 120 + 12(4) = 168.
  • t = 5, t(5) = 120 + 12(5) = 180.

One year from now is 12 months, hence:

t(12) = 120 + 12(12) = 264.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada