Question

1. a function starts at 5 and increases by 2 for every step taken. which equation represents this?

a. $y = 5x + 2$
b. $y = 2x + 10$
c. $y = 2x + 5$
d. $y = 2 - 5x$

Explanation:

Step1: Identify initial value (y-intercept)

The function starts at 5, so the y-intercept $b=5$.

Step2: Identify rate of change (slope)

The function increases by 2 per step, so the slope $m=2$.

Step3: Use slope-intercept form

The slope-intercept form of a linear function is $y=mx+b$. Substitute $m=2$ and $b=5$.
$y=2x+5$

Answer:

c. $y = 2x + 5$