Question

Use the table to answer the question.

This table displays the output values A(l) of a function for given input values of l, suggesting a linear relationship between l and A(l).
l
A(l)

2 8
4 16
6 24
8 32
Kalani is trying to decide how large she wants the total area of her garden to be. The table shows some of the possibilities she is considering for the length of one side (l)
and the total area of the garden, A(l)
. Which of the following equations describes the relationship between side length and area, as outlined in this table, using function notation?

(1 point)
Responses

A(l)=2l

cap A times l is equal to 2 l - no response given

A(w)=l+2

cap A times w is equal to l plus 2 - no response given

A(l)=4l

cap A times l is equal to 4 l - no response given

A(w)=l+4

cap A times w is equal to l plus 4 - incorrect
Incorrect

Are the variables related to each other by addition?

Answer 1

The correct equation is A(l) = 4l.

No — the variables are related by multiplication (A is 4 times l), not by addition. For example, A(2)=4·2=8, A(4)=4·4=16, etc.