Answer:
So, its better to buy larger bag
Step By Step Explanation:
Let
Smaller bag hold = x ounces
Price of x ounce in smaller bag = $ y
Price of 1 ounce in smaller bag = 
....(1
Larger bag will hold = x + 10 ounces
Price of x+10 ounces in larger bag = y + 1.5
Price of 1 ounce in larger bag = 
...(2
Now equation 1 tells that 1 ounce in smaller costs , and equation 2 tells in ounce in larger bag costs .
Now as we can see, we can get equation 2 from equation 1 by increasing numerator by 1.5 and denominator by 10. In this case denominator has increased more than numerator so the value of overall fraction would be less than . It means our larger bag has less price per ounce.
So, its better to buy larger bag
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
y=kx+b
for (7,-8): -8=7k+b. (function 1)
for (-4,6): 6=-4k+b (function 2)
Use function 2 - function 1
we get: 14=-11k
k=-14/11------>slope is -14/11
Now we know that first two options are wrong since they have the wrong slope for the function.
Plus -14/11 back to function 1/ or 2. Both are correct and can give you the answer. In this case I would plug it back to function 2.
6=14*4/11+b
b=66/11-56/11
b=10/11
We get y=-14/11x+10/11
subtract both side by 6.
y-6=-14/11x+10/11-66/11
y-6=-14/11x-56/11
y-6=-14/11(x+4)
So C is correct
