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 $y = 15x + 30$ tell you?
hassan starts at the? and climbs up? ste
options for first?: bottom, 15th step, 30th step
(chart: hassan: $y = 15x + 30$, jenny: $y = 15x$; x - minutes, y - steps; hassans line starts at (0,30), jennys at (0,0))

Explanation:

Step1: Analyze the y-intercept

In the linear equation \( y = mx + b \), \( b \) is the y - intercept, which represents the value of \( y \) when \( x = 0 \). For the equation \( y=15x + 30 \), when \( x = 0 \) (0 minutes), \( y=30 \). This means at the start (0 minutes), Hassan is at the 30th step.

Step2: Analyze the slope

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

Answer:

Hassan starts at the 30th step and climbs up 15 steps per minute.