Question

genesis starts at the 30th step and climbs up 15 steps each minute. esme also starts at the 30th step and climbs up 15 steps each minute.
x: number of minutes
y: number of steps
which equation shows that genesis starts at the 30th step and climbs up 15 steps each minute?
y = 15x + 30 y = 15x + 15 y = 30x + 15 y = 30x + 30

Explanation:

Step1: Recall linear equation form

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

Step2: Identify m and b for Genesis

• The rate at which Genesis climbs steps per minute is 15. So, the slope $m = 15$.
• Genesis starts at the 30th step, which is the initial value (when $x = 0$, $y = 30$). So, the y - intercept $b = 30$.
• Substituting $m = 15$ and $b = 30$ into the slope - intercept form $y=mx + b$, we get $y = 15x+30$.

Answer:

$y = 15x + 30$