Math Problem Statement

The function y = 4.25x + 6 represents the total amount of money, y, earned over x hours. What is true about the function? A) It is linear because it is always increasing. B) It is nonlinear because it is always increasing. C) It is linear because it increases at a constant rate. D) It is nonlinear because it increases at a constant rate.

Solution

The given question presents the function y=4.25x+6y = 4.25x + 6, which represents the total amount of money, yy, earned over xx hours. Let’s analyze the function and the provided options:

Key Points:

  1. Linear Function: A function is linear if it has the form y=mx+by = mx + b, where mm (the coefficient of xx) is the constant rate of change (or slope) and bb is the y-intercept.
    • In this case, ( y = 4

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope-Intercept Form

Formulas

y = mx + b (linear function form)

Theorems

Slope and Rate of Change

Suitable Grade Level

Grades 6-8

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