Question

auden approximates the area of circles using the equation a = 3r² and records areas of circles with different radius lengths in a table. complete parts a - c below.
radius (in.) | 3 | 4 | 5 | 6 | 7
area (in²) | 27 | 48 | 75 | 108 | 147

a. graph the ordered pairs from the table. choose the correct graph below.
click here to view graph d.
click here to view graph c.
click here to view graph a.
click here to view graph b.
b. is the relation a function? explain.
the relation dropdown a function because dropdown corresponds dropdown one dropdown

Explanation:

To determine if the relation is a function, we use the definition of a function: a relation where each input (independent variable) has exactly one output (dependent variable). Here, the input is the radius (each radius value: 3, 4, 5, 6, 7) and the output is the area. Each radius (input) has only one corresponding area (output). So, no input is repeated with different outputs.

Answer:

The relation \(\boldsymbol{\text{is}}\) a function because \(\boldsymbol{\text{each radius (input)}}\) corresponds \(\boldsymbol{\text{to}}\) one \(\boldsymbol{\text{area (output)}}\).