Question

according to data gathered from farmers, the wheat crop yield based on a new fertilizer is modeled by the equation ŷ = 0.02x + 1.21, where x represents the amount of fertilizer in pounds per acre and ŷ represents the predicted yield of crops in tons per acre. how much fertilizer should be used to yield 10 tons of wheat per acre? 440 pounds per acre 140 pounds per acre 4.4 pounds per acre 1.4 pounds per acre

Explanation:

Step1: Substitute yield value into equation

Set $\hat{y} = 10$: $10 = 0.02x + 1.21$

Step2: Solve for x

Subtract 1.21: $10 - 1.21 = 0.02x$ → $8.79 = 0.02x$
Divide by 0.02: $x = \frac{8.79}{0.02} = 439.5 \approx 440$

Answer:

440 pounds per acre