The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore,
increasing the average cost of gas from $1.50 to $2.20 will increases
the steepness of the line. (i.e. the line becomes closer to the vertical
line).
Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
What a clever sneaky little problem !
There can only be two of them: 1221 and 2112 .
Answer:
1/10
Step-by-step explanation:
1/10 is the answer bc he gave his friend 100/1000 simplified form 1/10
