the data in the table represents the predicted price of a gallon of milk, y, for number of years, x. which…

the data in the table represents the predicted price of a gallon of milk, y, for number of years, x. which form of an equation was used to model the price of a gallon of milk? price of milk\n| years | price |\n| ---- | ---- |\n| 0 | $3.00 |\n| 1 | $3.12 |\n| 2 | $3.24 |\n| 3 | $3.37 |\n| 4 | $3.51 |\no y = ax + b\no y = ax^2 + b\no y = ab^x\no y = a + bx

the data in the table represents the predicted price of a gallon of milk, y, for number of years, x. which form of an equation was used to model the price of a gallon of milk? price of milk\n| years | price |\n| ---- | ---- |\n| 0 | $3.00 |\n| 1 | $3.12 |\n| 2 | $3.24 |\n| 3 | $3.37 |\n| 4 | $3.51 |\no y = ax + b\no y = ax^2 + b\no y = ab^x\no y = a + bx

Answer

Answer:

y = ax + b

Explanation:

Step1: Analyze linear - form features

A linear equation is of the form y = ax + b. When x changes by a constant amount (here x changes by 1 each time), y changes by approximately a constant amount.

Step2: Check differences in y - values

When x = 0, y = 3.00; when x = 1, y = 3.12 (increase of 0.12). When x = 2, y = 3.24 (increase of 0.12 from x = 1). When x = 3, y = 3.37 (increase of 0.13 from x = 2). When x = 4, y = 3.51 (increase of 0.14 from x = 3). The differences are approximately constant, indicating a linear relationship.

Step3: Eliminate non - linear forms

y = ax² + b is a quadratic form and would show non - constant first differences. y = ab^x is an exponential form and would show a constant ratio between consecutive y - values. y = a+bx is the same as y = bx + a (linear form but written in a different order). The most common linear form is y = ax + b.