The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4
The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)
So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile
We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.
Y = ln {[sin(x)]^2}
use the chain rule
y' = 1 /[sin(x)]^2 * 2sin(x)*cos(x) = 2cos(x) / sin(x) = 2 cot(x)
Answer: 2 cot(x)
The way to work this out is to find a common denominator. so in this case 80 is a common denominator. So it would be 3/8 into 30/80 and then 4/10 into 32/80 therefore 4/10 is bigger
