Answer:
f(x) = 2·3^x
Step-by-step explanation:
We have the general equation of exponential functions as
y= a*b^x
We are given that the point (0,2) is on the graph so
when x= 0, y= 2
If we substitute in the general equation we see that
2 = a*b^0, any number to the power 0 is 1
2 = a
We were also given that point (1, 6 ) is on the graph;
If we substitute in our new found equation we see that
y=2·b^x
6 = 2·b^1 , any number to the power 1 is itself and
divide both sides by 2
3 = b
f(x) = 2·3^x
Answer:
720
Step-by-step explanation:
If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:
There are 720 ways.