Question

1. elena has $225 in her bank account. she takes out $20 each week for w weeks. after w weeks she has d dollars left in her bank account. write an equation that represents the amount of money left in her bank account after w weeks. (from unit 2, lesson 2.) 8. priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. she is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. including herself, there are 12 people in the club. a package of cheese contains 16 ounces and costs $3.99. a one - gallon jug of fruit punch contains 128 ounces and costs $2.50. let p represent number of people in the club, f represent the ounces of fruit punch, c represent the ounces of cheese, and b represent priyas budget in dollars. select all of the equations that could represent the quantities and constraints in this situation. a. f = 8·12 b. c = 2·3.99 c. 2·3.99 + 2.50 = b d. 2p = c e. 8f + 2c = b (from unit 2, lesson 2.)

Explanation:

Step1: Analyze Elena's money - situation

Initial amount is $225 and she withdraws $20 per week. The amount left $d$ is the initial amount minus the total amount withdrawn. The total amount withdrawn in $w$ weeks is $20w$.
So the equation for Elena is $d = 225-20w$.

Step2: Analyze Priya's situation

She prepares 8 ounces of fruit - punch per person and there are $p$ people, so the total ounces of fruit - punch $f = 8p$. When $p = 12$, $f=8\times12$, so option A is correct.
She prepares 2 ounces of cheese per person, so the total ounces of cheese $c = 2p$, option D is correct.
A package of cheese contains 16 ounces and costs $3.99, and a one - gallon jug of fruit punch contains 128 ounces and costs $2.50.
The cost of cheese: First, find the number of cheese packages. The total ounces of cheese is $c$, and each package has 16 ounces. The number of packages is $\frac{c}{16}$, and the cost of cheese is $3.99\times\frac{c}{16}$. The cost of fruit - punch: The number of fruit - punch jugs is $\frac{f}{128}$, and the cost is $2.5\times\frac{f}{128}$.
The budget $b$ is related to the cost of cheese and fruit - punch. But if we consider the relationships based on the given variables directly:
For option B, $c = 2\times3.99$ is wrong because 3.99 is the cost per 16 - ounce package, not the ounces per person.
For option C, $2\times3.99 + 2.50=b$ is wrong as it doesn't correctly account for the amounts and costs.
For option E, $8f + 2c=b$ is wrong as the coefficients are not set up correctly based on the cost and amount relationships.

Answer:

1. $d = 225-20w$
2. A. $f = 8\times12$, D. $2p = c$