Question

40 x: number of minutes
y: number of steps

40 what does the equation y = 15x tell you?

41 jenny starts at the bottom and
climbs up ? steps each minute.

(chart: two lines, hossam: y = 15x + 30, jenny: y = 15x. axes: x (minutes), y (steps))

Explanation:

Step1: Recall Slope-Intercept Form

The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the y - intercept (initial value).

Step2: Analyze Jenny's Equation

Jenny's equation is \(y = 15x\). Comparing with \(y=mx + b\), we have \(m = 15\) and \(b = 0\). The y - intercept \(b = 0\) means she starts at 0 steps (the bottom, since the y - axis is steps and x - axis is minutes, and when \(x = 0\), \(y = 0\)). The slope \(m = 15\) means the rate of change of steps with respect to minutes is 15 steps per minute.

Answer:

15