Answer:
The characteristic of a logarithm is the number to the left of the decimal.
(The characteristic is like an exponent).
We are working with base 3 logs.
So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.
Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.
1.8928 +2 = 3.8928
Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.
Step-by-step explanation:
Answer: a) Linear function
b) adding 8 each time x increases by 1
c) (0,13)
Step-by-step explanation:
For the given table, the rate of change is constant throughout the table.
The rate of change = 
Similarly we can check for every interval, the rate of change remains constant .
Thus, it is a linear function and the pattern we observe here is "adding 8 each time x increases by 1".
We know that the ordered pair of y intercept = (0,y)
In the table at x=0, y=13
hence, the y intercept of the given function is (0,13)
The answer to your question is 260
Answer:
B. y=1/2x+7
Step-by-step explanation:
y2-y1/x2-x1 this finds the slope
Then take one of the coordinates: either (2,8) or (4,9) and plug them into x and y to find b (the y-int)
