,,Answer:
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct
Explanation:
Given that the rate is constant, we would write the equation in the slope-intercept form, which is expressed as
y = mx + c
where
m represents slope, and it also represents the constant rate
c represents the y-intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given,
x represents the number of days
y represents height
Thus,
when x1 = 10, y1 = 25
when x2 = 20, y2 = 45
Substituting these values into the formula, we have
m = (45 - 25)/(20 - 10) = 20/10 = 2
We would find the y-intercept, c by substituting m = 2, x = 10 and y = 25 into the slope-intercept equation. We have
25 = 2 x 10 + c
25 = 20 + c
c = 25 - 20
c = 5
By substituting m = 2 and c = 5 into the slope-intercept equation, the equation models the height of the plant. y after x days is
y = 2x + 5
The options are written in point-slope form, which is expressed as
y - y1 = m(x - x1)
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct