During an exploratory activity, a student measured the diameter and circumference of several circular objects. She recorded her data in the table below. What equation best represents this data? y = 6.28x
y = 3.14x + 6.28
y = 3.14x
y = 6.28x + 3.14

y=3.14x

Step-by-step explanation:

if you graph this on a calculator you can just visually see what line lines up with all the points. but you can also plug in one of the points into the equations to see if its true or not and if its true choose that equation. like use the first points (2, 6.28) and plug them into the equations and see which one is true.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8