Answer:
When Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.
Step-by-step explanation:
The rate of change, or slope, represents the rate at which the height of the plant increased per week.
Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.
y2 - y1 = 15 inches-10 inches
x2 - x1 4 weeks-2 weeks
2.5 inches/1 week or 2.5 inches per week
So, the rate of change is 2.5 inches per week.
Now, find the y-intercept, b, by using the equation y = mx + b, where m is the slope of the line represented by the given table of values and (x , y) is any point on the line.
Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.
y=mx+b
10=2.5 (2) + b
5=b or b=5
So, the initial height of the plant was 5 inches.
Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.
