Question

Explain what type of function is the best model for the data set and justify your choice. Help???????

Answer 1

A linear function is the best model.

The ratio of y to x for the ordered pairs is constant, so the relationship is a direct variation. A direct variation is a type of linear function.

When the data set is plotted, it forms a line.

Explanation:

Answer 2

The function is linear

Explanation:

* Lets check from the table the type of the function

- At first check if it is linear or not

- The points are:

(165 , 198) , (168 , 201.6) , (170 , 204) , (172 , 206.4) , (175 , 210)

* Find the slope for each two points if the value of the slop is

constant, then the function will be linear

∵ The slop = (y2 - y1)/(x2 - x1)

∴ m1 = (201.6 - 198)/(168 - 165) = 1.2

∴ m2 = (204 - 201.6)/(170 - 168) = 1.2

∴ m3 = (206.4 - 204)/(172 - 170) = 1.2

∴ m4 = (210 - 206.4)/(175 - 172) = 1.2

∵ m1 = m2 = m3 = m4

# Note: You can use any to points to find the slope you will

have the same value

∴ The graph of the points is a line with slope 1.2

* The function is linear