Question

Shelly's savings account currently has a balance of $220. She has started working a part-time job and plans to deposit part of her paycheck each week into her savings account. The table below shows the balance in Shelly's account for the first four weeks: Week Account Balance 0 $220 1 $280 2 $340 3 $400 4 $460 Part I: How much money did Shelly have in her savings account at 3 weeks? (2 points) Part II: How much money does Shelly deposit into her savings account each week? Show your work. (3 points) Part III: Write an equation to represent the amount of money Shelly has in her account each week. Let w represent the number of weeks Shelly deposits money into her savings account and m represent the amount of money in her account. A. Define the variables. (2 points; 1 point each) Let w = _________________________ Let m = _________________________ B. Write an equation to represent the amount of money Shelly has in her account each week. Hint: Remember that Shelly started with $220 in the account. (3 points) Part IV: Using the equation you wrote in Part III, how much money will Shelly have in her account after 7 weeks? Show your work. (4 points) 4. Sonny is purchasing a CD player and some CDs. The cost of the CD player is $48 more than the total cost of the CDs. If the CDs cost a total of $96, what is the cost of the CD player? Part I: Write an equation to represent the total cost of the CD player. Let c represent the total cost of the CD player. A. Define the variable. (1 point) Let c = _________________________ B. Write an equation to represent the total cost of the CD player. (2 points) Part II: Solve the equation you wrote in Part I for the variable c and write your answer in the form of a sentence. Show your work. (3 points) 5. Crunchie Munchies is a new brand of cereal on the market. The nutritional label says that a 1-cup serving of the cereal contains 120 calories. Part I: The amount of potassium in the cereal is 10 mg more than half the calories. A. Write an equation to find the amount of potassium in a 1-cup serving of Crunchie Munchies. Let p represent the amount of potassium in the cereal. Be sure to define any variable used. (3 points) B. Solve the equation you wrote in A. and write your solution in the form of a sentence. Show your work. (2 points) Part II: The amount of carbohydrates in a 1-cup serving of the cereal is 5 grams less than one-third of the number of calories. A. Write an equation to find the number of grams of carbohydrates in a 1-cup serving of Crunchie Munchies. Let c represent the number of carbohydrates in the cereal. Be sure to define any variable used. (3 points) B. Solve the equation you wrote in A. and write your solution in the form of a sentence. Show your work. (2 points)

Answer 1

Answer:

Listed below

Step-by-step explanation:

Shelly's problem:

Part I) On the third week she had 400$ on her account. This can easily be analyzed from the table of Shelly's account balance.

Part II) She deposits 60$ every week. We know that on day 0 Shellly had 220$. If after a week she has 280$ on her account, then that means that she earned 60$. The same is earned after every week of work.

Part III)

A. W = weeks worked

M= money earned.

B. $M=220 +60 . W$.

We know that she had 220$ on her account since day 0. Then she adds 60$ per week (W). The total of her account is represented by M, and the weeks are represented by W.

Part IV) We sustitute the W with a 7 that represents the number of weeks she worked and we get:

$M=220 +60 . 7 = 640$

4) In this problem, we know that both CD's and CD player cost in total 96$ (from the CD's) + 144$ (from the CD player, that is 48$ more expensive than the CD's).

96$+144$=240$

Part I)

A. C = CD player

B.  C= 96 + 144

Part II) C = 240$. we know that both CD's and CD player cost in total 96$ (from the CD's) + 144$ (from the CD player, that is 48$ more expensive than the CD's).

5)

Part I)

A. $P = C : 2 +10$

C= calories

P= potassium

B. $P = 120 : 2 +10 = 70 mg$

The amount of potassium is the result between the addition of the half of 120 and 10.

Part II)

A. $C= \frac{1}{3} . K -5$

C= carbohydrates

K=calories.

B.  $C= \frac{1}{3} . 120 -5 =35$

The amount of carbohydrates can be calculated multiplying one third by 120 and then resting 5