Question

1 which graph shows a function that is increasing at a constant rate? a b

Explanation:

Step1: Recall constant rate increase

A function increasing at a constant rate has a straight - line (linear) graph with a constant slope. For a linear function \(y = mx + b\), the slope \(m\) is constant.

Step2: Analyze Graph A

Graph A is a V - shaped graph (absolute value function \(y=\vert x\vert\)). For \(x\lt0\), the slope is \(- 1\) (decreasing), and for \(x\gt0\), the slope is \(1\) (increasing). The slope changes at \(x = 0\), so it does not have a constant rate of increase over the entire domain.

Step3: Analyze Graph B

Graph B is a straight line (linear function, e.g., \(y = mx\) where \(m\gt0\)). The slope of a straight line is constant, which means the function is increasing at a constant rate.

Answer:

B