Q:

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.

Accepted Solution

A:
Answer:Option 1 is the correct answerStep-by-step 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 inches2 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)dWhere48 = a the first term4 = d = common differencen = t = number of years.Tn = h(t) = height of the tree in in years. Therefore, option 1 is the correct answerThe 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