If a plant has a linear growth rate and 1 day after planting is 2x+4 and day four is 4x+8 Wgat is the growth rate?
To find the growth rate of the plant, we need to determine how much the plant grows per day.
Let's denote the growth rate as "g" (in units/day).
Given that the plant has a linear growth rate, the amount of growth after a certain number of days can be represented by the equation:
Growth = g * number of days + initial growth
According to the information given, we have two data points:
1 day after planting: Growth = 2x + 4
4 days after planting: Growth = 4x + 8
Using these data points, we can create a system of equations to solve for the growth rate "g":
For the 1st data point:
2x + 4 = g * 1 + initial growth
For the 2nd data point:
4x + 8 = g * 4 + initial growth
Now, we can solve this system of equations to find the value of the growth rate "g".
Subtracting the 1st equation from the 2nd equation eliminates the initial growth:
(4x + 8) - (2x + 4) = (g * 4 + initial growth) - (g * 1 + initial growth)
Simplifying:
2x + 4 = 3g
Rearranging the equation to solve for "g":
g = (2x + 4) / 3
Therefore, the growth rate of the plant is given by the expression (2x + 4) / 3.