Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.
<h3>What is Direct Variation ?</h3>
When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.
For the data to be in direct variation
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.
Option B is the correct answer.
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Answer:
t = -24*log(2/3)
Step-by-step explanation:
The expression is:
V = 22,500*10^(-t/12)
Replacing with V = 10,000 and isolating t, we get:
10,000 = 22,500*10^(-t/12)
10,000/22,500 = 10^(-t/12)
4/9 = 10^(-t/12)
(2/3)² = 10^(-t/12)
2*log(2/3) = -t/12
-12*2*log(2/3) = t
t = -24*log(2/3)
Answer: 64 miles
Step-by-step explanation:
Subtract all of Buck's expenses from the total amount that he spent to isolate the amount of miles.
70.23 (Total) - 39.95 (Flat Rate) - 9.80 (Gas) = 20.48
20.48 ÷ 0.32 (Cost Per Mile) = 64 (Total miles)
Hope this helps!