Answer:
The logarithmic function modeled by the given table:
f(x) = log₃x
Step-by-step explanation:
Given Table:
x f(x)
9 2
27 3
81 4
We can see that x increases as powers of 3. And f(x) is the power.
We assume that f(x) = log₃x
Checking using the table:
for x = 9
f(x) = log₃9 = 2
for x = 27
f(x) = log₃27 = 3
for x = 81
f(x) = log₃81 = 4
Hence proved.
Answer:
coordinate A
Step-by-step explanation:
The formulas:

Expand the expression:

Plug the values into the expression:
Answer: 4
Step-by-step explanation: you add 5 and 3, then you divide by the number of numbers which is 2.
Let r = rental, g = gas, m = miles
r1 + g1 + 0.25m = r2 + g2 + 0.35m now plug in and solve for m
40 + 15 + 0.25m = 45 + 0.35m
55 - 45 = 0.35m - 0.25m
10 = 0.1m
100 = m
for 100 miles the cost will be the same
now to find the cost
0.25m plug in 100 for m
0.25(100) = 80
for the course of 100 miles the cost will be $80