Which type of function best models the data in the table? justify your choice.

Quadratic equation:  

Explanation:

We need to find best model of given data in the table.

1) Linear: For linear slope of the line must be same. Slope is change in y over change x must be same. But if we find change in y over change x for this table. They won't be same. This table value can't be linear.

2) Quadratic: For quadratic equation. we will take standard form of quadratic equation . Using any three value of table we will find a, b and c and then we satisfy other value of of table.

Point 1: (4,118)

Point 2: (6,142)

Point 3: (8,150)

Now we have three equation and to solve for a, b and c. Using elimination method we get the value of a=-2, b=32 and c=22.

So, Quadratic equation

So, we get quadratic model for the given data in the table.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm