58,392 views
26 votes
26 votes
Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that shecan reserve for a rectangular bell pepper patch depends on how large she makes the tomato patch, she uses function pto represent the area of the bell pepper patch, where x is the length of the tomato patch.Question Match the real world description with the features they represent within the context of melissa’s garden not all tiles will be used.

Melissa reserves another rectangular patch in her vegetable garden for growing bell-example-1
User Chuan Yeong
by
2.8k points

1 Answer

15 votes
15 votes

The function to be used is called "p" and represents the area of the pepper patch to be constructed. It should depend on the length of the tomatopatch (this dimension/variable is called "x")

Therefore, p(x) is how we write the function in mathematical terms.

Now, the domain of this function consists as all domains as the possible x values that could render a viable answer. so, the Domain is:

Domain = {set of all possible lengths of the tomato patch} This description better describes that given in the very first option on the top left.

The y-intercept: Recall that the variable we are representing on the y-axis (vertical axis), and the intersect occurs when the x-value is zero.

So y-intercept = The area of the pepper patch when the length of the tomato patch is zero (last option - bottom right)

x-intercepts: The points at which p is zero, So the length of the tomato patch when the area of the pepper patch is zero. (This is the bottom left option they give you).

The Range: is all possible answer for the area of the pepper patch. Which is best described by the middle top option they gave you.

User ManOx
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.