There is a 68.75% increase in the amount of water Nathan drinks from his usual 32 ounces. If he started drinking 54 ounces of water per day, then there is a 22 ounce increase in intake. And 22 ounces is 68.75% of 54 ounces. This percentage would be derived by using the formula (54-32)/32.
The parent function for quadratic equations is as followed:

where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.
So going from

to

,
We are shifting 1 to the left and 6 up.
The horizontal shift is in the negative direction because in the equation, h=-1 because:
The answer is A.
Answer:
9/25
Step-by-step explanation:
find a number that both the top and bottom are divisible by,
23 is the greatest common division we can make such that the top and bottom remain whole numbers
so,
÷23
=(207/23)÷(575/23)
=
6 trips because 1 trip = 3 km
If you divide 18 / 3 it would be 6 and by that multiply the # of trips.
As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)
(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
10.979 = x
Answer: x = 10.979