Use the equation W = -0.0014x2 - 0.076x +
50 to find W for each x-value in the table.
Use this equation to estimate the number of worms on 60 and on day 180. Which answer is the most accurate?
To find the value of W for each x-value in the table using the equation W = -0.0014x^2 -0.076x + 50, you need to substitute the x-values into the equation and calculate the corresponding W-values.
Let's begin with the given equation:
W = -0.0014x^2 - 0.076x + 50
To estimate the number of worms on day 60 and day 180, we substitute x = 60 and x = 180 into the equation and solve for W.
For x = 60:
W = -0.0014(60)^2 - 0.076(60) + 50
Now, let's calculate the value of W for x = 60.
W = -0.0014 * 3600 - 0.076 * 60 + 50
W = -5.04 - 4.56 + 50
W = 40.4
Thus, on day 60, the estimated number of worms is approximately 40.4.
Now, let's calculate the value of W for x = 180.
W = -0.0014(180)^2 - 0.076(180) + 50
Calculating the value of W for x = 180:
W = -0.0014 * 32400 - 0.076 * 180 + 50
W = -45.36 - 13.68 + 50
W = -9.04
Thus, on day 180, the estimated number of worms is approximately -9.04.
Now, we need to determine which answer is the most accurate between the estimated number of worms on day 60 (40.4) and day 180 (-9.04).
Considering that the number of worms cannot be negative, we can conclude that the estimated number of worms on day 60 (40.4) is the more accurate answer.
Therefore, the estimated number of worms on day 60 is more reliable and accurate compared to day 180.