Question

Ashley plants a tree 45 cm tall. It grows by 10 cm each year. As a reward for looking after his tree, Ashley's parents give him the height of the tree in pounds each year. Write down and simplify a formula for the total amount of money after n years.

A) Money = 45n + 10
B) Money = 45 + 10n
C) Money = 10n - 45
D) Money = 45n - 10

Answer 1

The correct formula for the total amount of money Ashley will receive after n years is Money = 45 + 10n, where the 45 represents the initial height of the tree in pounds, and 10n is the total growth over n years in pounds.

Step-by-step explanation:

To provide Ashley with a formula for the total amount of money he will receive from his parents after n years, we need to account for the initial height of the tree and the yearly growth. The tree starts at 45 cm tall and grows by 10 cm each year. Since Ashley receives the height of the tree in pounds, his money after n years can be expressed as:

Initial height + (Yearly growth × Number of years)

The initial height is 45, and the yearly growth is 10 cm. After n years, the amount of money Ashley receives will be:

Money = 45 + 10n

Therefore, the correct formula is option B): Money = 45 + 10n. This formula indicates that Ashley will receive an initial 45 pounds for the first year, and his reward will increase by 10 pounds each subsequent year.