1. a recipe calls for cups of flour, cup of white sugar, and cup of brown sugar. the recipe makes 6 servings. (a) how many cups of flour are there per serving? show your work. (b) how many total cups of sugar (white and brown) are there per serving? show your work. (c) suppose you modify the recipe so that it makes 9 servings. how much more flour do you need for the modified recipe than you need for the original recipe? show your work. 2. your bank account has in it. you deposit $5 per day. (a) how much money is in your account after 5 days? show your work. (b) after you have made all of your deposits, you withdraw $2 a day until your account balance is $0. how many days will you withdraw $2? show your work. 3. a scuba diver was exploring a reef 32.12 m below sea level. the diver ascended to the surface at a rate of 8.8 m/min. (a) write an equation to model the situation. use the formula d = rt. (b) explain why it is reasonable to write the distance, d, as a positive number. (c) how long did it take the diver to reach the surface? need the answer a. s.a. p!

1. This problem lacks given values, where are the numbers? Just fill-in the numbers I will variables in this case.

Let us say that:

x = number of cups of flour

y = number of cups of white sugar

z = number of cups of brown sugar

(a) Just divide x by 6 to get cups of flour per serving

x / 6

(b) Simply add y and z and divide the sum by 6

(y + z)/6

(c) From (a) we know that there are x / 6 flours per serving, so simply multiply that by 9 then subtract the original x to know how much more you need:

[(x / 6) * 9] – x

2.

(a) We know that we deposit $5 per day, so after 5 days we got:

total deposit = ($5 / day) * 5 days = $25

(b) The total deposit is 25 dollars, so removing $2 a day we need:

25 / 2 = 12.5 days

3.

(a) d is distance, R is rate, T is time

32.12 = 8.8 T

(b) It is rightful to write distance d as a positive number since the scuba diver was ascending towards the surface. If this is to be plotted on a Cartesian plane, we are moving towards the positive y axis

(c) solving for T:

32.12 = 8.8 T

T = 32.12 / 8.8

T = 3.65 minutes

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.