Answer:
$27
Step-by-step explanation:
Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Total mileage included with the rental = 54 miles
Additional cost per mile after 54 miles = $1 4/5
Total miles Thomas drives = 69 miles
Extra miles Thomas drives = 69 miles - 54 miles
= 15 miles
how much extra does he need to pay?
Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives
= $1 4/5 * 15 miles
= 9/5 * 15
= (9 * 15) / 5
= 135/5
= 27
Extra cost Thomas needs to pay = $27
Let
, so that
and
. The integral is then equivalent to
<span><span><span>−<span>36n</span></span>−75</span>=<span>n−65</span></span><span>−36n−75−n</span><span>=</span><span>n−65−n</span>
<span><span><span>−<span>37n</span></span>−75</span>=<span>−65</span></span><span><span><span><span>−<span>37n</span></span>−75</span>+75</span>=<span><span>−65</span>+75</span></span><span><span>−<span>37n</span></span>=10</span><span><span><span>−<span>37n</span></span><span>−37</span></span>=<span>10<span>−37
</span></span></span><span>n= <span><span>−10/</span>37 <--------- answer</span></span>
10
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