Question

Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year.

Which statement best describes the function that could be used to model the height of the apple tree, h(t), as a function of time, t, in years.

The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.

The height of the apple tree can be represented by a linear function, and the variable t is an exponent in the equation representing the function.

The height of the apple tree can be represented by an exponential function, and the variable t is multiplied by 4 in the equation representing the function.

The height of the apple tree can be represented by an exponential function, and the variable t is an exponent in the equation representing the function.

Answer 1

The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.

Step-by-step answer:

Answer D

Answer 2

Option 1 is the correct answer

Explanation:

Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year. This means that a year from now,the height would be 48+4 = 52 inches

2 years from now, the height would be 48 + 8 = 56 inches.

The growth rate of the tree is linear and it can be likened or represented by an Arithmetic progression sequence.

Tn = a+(n-1)d

Where

48 = a the first term

4 = d = common difference

n = t = number of years.

Tn = h(t) = height of the tree in in years. Therefore, option 1 is the correct answer

The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.

This is the best model that can be used