Question

y: number of steps
(1) which equation shows that genesis starts at the 30th step and climbs up 15 steps each minute?
$y = 30x + 15$
$y = 30x + 30$
$y = 15x + 30$
$y = 15x + 15$

Explanation:

Step1: Define variables

Let $x$ = time in minutes, $y$ = total steps.

Step2: Identify initial value

Initial step count is 30 (y-intercept, $b=30$).

Step3: Identify rate of change

Climbs 15 steps/min (slope, $m=15$).

Step4: Use slope-intercept form

Slope-intercept formula: $y = mx + b$
Substitute values: $y = 15x + 30$

Answer:

$y = 15x + 30$