To find out how much dry fertilizer Adam will need when using 65 L of water, we can do a linear interpolation using the given data points:
First, we need to find the slope of the line between the points (30,70) and (75,175):
Slope = (175 - 70) / (75 - 30) = 105 / 45 = 7 / 3
Next, we can use the point-slope form of a linear equation to find the amount of dry fertilizer needed for 65 L of water:
Y - 70 = (7/3)(30 - X)
Y - 70 = (7/3)(30) - (7/3)X
Y = 70 + 70 - (7/3)X
Y = 140 - (7/3)X
Now we substitute X = 65 into the equation to find the amount of dry fertilizer needed for 65 L of water:
Y = 140 - (7/3)(65)
Y = 140 - (455/3)
Y = 140 - 151.67
Y ≈ 11.33
Therefore, Adam will need approximately 11.33 g of dry fertilizer when using 65 L of water.
Adam works on a berry farm. He must prepare fertilizer for the raspberries. He finds the following table about preparing the liquid fertilizer.
Amount of dry fertilizer and water required
X Amount of water (L) Y Amount of dry fertilizer (g)
0. 0
30. 70
75. 175
100. 250
Adam needs to prepare fertilizer using 65 L of water. How much fertilizer will he need?
1 answer
1 answer