Question

Monique son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 inches per year until the age of 15.

Part A: Write an equation that represents how old Monique son will be when he is 50 inches tall. ( let x represent the amount of year since age 2)

Part B: How old will Monique son be when he is 50 inches tall.

Answer 1

The equation that represents the height as a function of the time is:

f(x) = 34 + 2.625x, where x represent the amount of year since age 2

We need to find x such that f(x) = 50 that is:

34 + 2.625x = 50

x = 6 years rounded to integer

6 years after the age of 2 is 2 + 6 = 8 years.

Monique's son will be 8 years old and 50 inches tall.

Explanation:

Answer 2

The equation that represents the height as a function of the time is:

f(x) = 34 + 2.625x, where x represent the amount of year since age 2

We need to find x such that f(x) = 50 that is:

34 + 2.625x = 50

x = 6 years rounded to integer

6 years after the age of 2 is 2 + 6 = 8 years.

Monique's son will be 8 years old and 50 inches tall.

Explanation: