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.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.