Question

thelma approximates the area of circles using the equation ( a = 3r^2 ) and records areas of circles with different radius lengths in a table. complete parts a - c below

radius (in.)	2	4	6	8	10

a. graph the ordered pairs from the table. choose the correct graph below

• click here to view graph c.
• click here to view graph d.
• click here to view graph b.
• click here to view graph a.

b. is the relation a function? explain
the relation (\boxed{\text{is}}) a function because (\boxed{\text{dropdown}}) corresponds (\boxed{\text{to exactly}}) one (\boxed{y\text{-value}}).

help me solve this view an...

Explanation:

Part b

To determine if a relation is a function, we use the definition of a function: a relation where each input (x - value) has exactly one output (y - value). In this case, the x - values are the radii (2, 4, 6, 8, 10) and the y - values are the areas (12, 48, 108, 192, 300). For each radius (x - value), there is only one corresponding area (y - value). So we need to select the option that says "each x - value" in the dropdown.

Answer:

The relation is a function because each x - value corresponds to exactly one y - value. So the answer for the dropdown is "each x - value".