Question

discuss & write: use your function equation to find p(6.75). show your work, then explain what your answer means in this context. discuss & write: write an equation to model kwh of power, p(e), as a function of gallons of ethanol, e. p(e) = e(22)

Explanation:

Step1: Identify the function

We are given the function $P(E)$ and need to find $P(6.75)$. But we don't have the actual form of the function $P(E)$. Let's assume a general - linear function form $P(E)=mE + b$ (since no other information about the function is given). Without more context to find $m$ and $b$, if we assume a simple proportional relationship $P(E)=kE$ (where $k$ is a constant).

Step2: Substitute the value

If $P(E)=kE$, when $E = 6.75$, then $P(6.75)=k\times6.75$. Since we have no information about $k$, we can't get a numerical value. But conceptually, if $P(E)$ represents the power in kWh as a function of the number of gallons of ethanol $E$, then $P(6.75)$ represents the amount of power (in kWh) when there are 6.75 gallons of ethanol.

Answer:

We cannot find a numerical value for $P(6.75)$ without knowing the specific form of the function $P(E)$. Conceptually, $P(6.75)$ represents the power (in kWh) when the amount of ethanol is 6.75 gallons.