Answer:
Step-by-step explanation:
If a function is linear then if you subtract consecutive and y's you should see a common difference, d.
If a function is exponential (or geometric) then if you divide consecutive y's you should see a common ratio, r.
The first table. The x's increase by ones each time. Great. The y's do not increase by the same amount using addition or subtraction.
However, if you divide there is a pattern.
12 / 4 = 3
36 / 12 = 3
108 / 36 =3
r = 3
Therefore it is exponential and follows y = a1 * r^x where a1 = 4 since that is the first term in the table.
y = 4*(3^x)
y = 4*(3^0) = 4
y = 4*(3^1) = 12
y = 4*(3^2) = 36
y = 4*(3^3) =108
The same is true for the 2nd table.
150 / 100 = 1.5
225 / 150 = 1.5
337.5 / 225 = 1.5
r = 1.5
Therefore it is exponential and follows y = a1 * r^x where a1 = 100 since that is the first term in the table.
y = 100*(1.5^x)
y = 100*(1.5^0) = 100
y = 100*(1.5^1) = 150
y = 100*(1.5^2) = 225
y = 100*(1.5^3) = 337.5
