Answer:
The function is linear
Step-by-step 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
