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 5 tons of wheat per acre?

1.3 pounds per acre
1.9 pounds per acre
130 pounds per acre
190 pounds per acre

Question

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 5 tons of wheat per acre?

1.3 pounds per acre
 1.9 pounds per acre
 130 pounds per acre
 190 pounds per acre

urlocalgay · Answer

I think it might be 1.3 but I'm not sure

toga · Answer

gfWe have the equation ŷ = 0.02x + 1.21, where x is the amount of fertilizer in pounds per acre and ŷ is the predicted yield of crops in tons per acre. To find out how much fertilizer should be used to yield 5 tons of wheat per acre, we can substitute ŷ with 5 in the equation and solve for x:

5 = 0.02x + 1.21

Subtracting 1.21 from both sides, we get:

3.79 = 0.02x

Dividing both sides by 0.02, we get:

x = 189.5

Therefore, the amount of fertilizer that should be used to yield 5 tons of wheat per acre is approximately 190 pounds per acre. So, the answer is d.

urlocalgay · Answer

I'm not sure I quite understand it says x represents five so wouldn't it be something like y =0.02(5) +1.21?

urlocalgay · Answer

If I do that it gives me 1.31 which would be rounded to 1.3

urlocalgay · Answer

but yours does make more sense since there's five tons of wheat per acre, seeing as 1.3 probably wouldn't be enough...