Shirley works on a berry farm. She must prepare fertilizer for the strawberries. She finds the following table about preparing the liquid fertilizer.
Amount of water (x) : 25,70,100
Amount of dry fertilizer (y): 108,302.4,432
1. Is the relation linear? Use slope to explain
2. What does the slope represent?
3. Write an equation that show amount of water required to prepare liquid fertilizer.
4. Shirley needs to prepare fertilizer using 206 L of water. How much fertilizer will she need?
1. No, the relation is not linear because the ratios of the amounts of water to the amounts of dry fertilizer are not constant.
2. The slope represents the rate at which the amount of dry fertilizer increases as the amount of water increases.
3. Let's calculate the slope using the formula:
Slope = (y2 - y1) / (x2 - x1)
Slope = (302.4 - 108) / (70 - 25)
Slope = 194.4 / 45
Slope = 4.32
The equation for the amount of water required to prepare liquid fertilizer is:
y = 4.32x
4. To find out how much fertilizer Shirley will need when using 206 L of water, we can substitute x = 206 into the equation:
y = 4.32 * 206
y = 888.72
So, Shirley will need 888.72 units of dry fertilizer when she prepares liquid fertilizer using 206 L of water.