Question

hassan and jenny are also climbing the stairs in the statue of liberty.
x: number of minutes
y: number of steps
what does the equation $y = 15x$ tell you?
jenny starts at the? and climbs up? ute.
options for the first ?: bottom, 15th step, 30th step
(chart: hassan: $y = 15x + 30$, jenny: $y = 15x$; x - minutes, y - steps)

Explanation:

Step1: Analyze the y - intercept

For a linear equation in the form \(y = mx + b\), \(b\) is the y - intercept (the value of \(y\) when \(x = 0\)). In Jenny's equation \(y=15x\), we can rewrite it as \(y = 15x+0\). When \(x = 0\) (at time \(x = 0\) minutes, which is the start), \(y=0\). This means Jenny starts at the bottom (since \(y = 0\) represents the starting point with 0 steps climbed initially).

Step2: Analyze the slope

The slope \(m\) in the equation \(y=mx + b\) represents the rate of change. In the equation \(y = 15x\), the slope \(m = 15\). This means that for each increase of 1 in \(x\) (each minute), \(y\) (the number of steps) increases by 15. So Jenny climbs up 15 steps per minute.

Answer:

Jenny starts at the bottom and climbs up 15 steps per minute.