Answer:
y = 8.34x + 35
Step-by-step explanation:
Ivy has an empty barrel having weight = 35 pounds
Having 10 gallons of water barrel weighs = 118.4 pounds
After collecting 20 gallons of water barrel weighs = 201.8 pounds
There is a common difference in the weight of the barrel as he collects the rain water = (201.8 - 118.4) = 83.4 pounds
Therefore, its a linear process and forms a straight line when we graph the function.
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Two points lying on the line will be (0, 35) and (10, 118.4)
Slope of the line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{118.4-35}{10-0}[/tex]
= 8.34
y-intercept of the line 'b' = 35
Therefore, equation of the line is,
y = 8.34x + 35
