Answer:
E: 2.00 + 0.75 [ 2r]
Step-by-step explanation:
r represents the number of miles. For each 1/2 mile the taxi will charge and extra free of $0.75. Then, for each mile, the taxi will charge $0.75*2. For example:
For a trip of 1 mile the taxi will charge:
$2.00+$0.75*2
For a trip of 2 miles, the taxi will charge:
$2.00+0.75*4
For a trip of 10 miles, the taxi will charge:
$2.00+$0.75*20
Notice that the variable fee (the one that depends on the number of miles) is $0.75 times the double of miles. In each case the number of miles is multiplied by two. Then the correct answer is E: 2.00 + 0.75 [ 2r]
What is that ? are you joking ?
We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is
