The table represents the temperature of a cup of coffee over time.

which model best represents the data set?

a) exponential, because there is a relatively consistent multiplicative rate of change

b) exponential, because there is a relatively consistent additive rate of change

c) linear, because there is a relatively consistent multiplicative rate of change

d) linear, because there is a relatively consistent additive rate of change

A) exponential, because there is a relatively consistent multiplicative rate of change

temperature thrice. If you compare time=0 until time=30, you will get this table
t(10)- t(0)= 180-200= -20
t(20)-t(10)= 163-180= -17
t(30)-t(20)= 146-163= -17
t(40)-t(30)= 131- 146= -15
t(50)-t(40)= 118-131= -13
t(50)-t(40)= 107-118= -11

There is something weird about the 2nd and 3rd value because it was same -17., but there seems to be a +2 change to the difference. So, the graph would be exponential with a relatively consistent multiplicative rate of change

4+2=-2. 1+2=3. y=-2/3x+b. 2=4/3+b. 2/3=b. the answer is y= -2/3x+2/3