Question

1. you and 4 friends split the total cost of one pizza and one pitcher of iced tea. the pizza costs $15.

a. define the variable in this situation. write an expression that represents the amount of money each friend should pay.
b. how much money does each friend pay if the pitcher of iced tea costs $12? use the expression you wrote in part (a).
the total cost to play games at an arcade is equivalent to one arcade card and the number of games you plan to play. the arcade card costs $1.00. each game costs $0.75.
a. define the variable in this situation. write an expression that represents the total cost to play games at the arcade.
b. which description represents the expression you wrote in part (a)? circle all that apply.
a. the difference between 1 and 0.75 of a number
b. the sum of 1 and the product of 0.75 and a number
c. 1 more than 0.75 times a number
if you plan to play 8 games at the arcade, what is the total cost? use the expression you wrote in part (a).

Explanation:

---

Pizza & Iced Tea Problem

Step1: Define variable and total people

Let \( x \) = cost of iced tea (in dollars). Total people: \( 1 + 4 = 5 \)

Step2: Write per-person cost expression

Total cost = \( 15 + x \). Split by 5: $\frac{15 + x}{5}$

Step3: Substitute \( x=12 \) into expression

$\frac{15 + 12}{5} = \frac{27}{5}$

Step4: Calculate numerical value

$\frac{27}{5} = 5.4$
---

Arcade Cost Problem

Step5: Define variable for arcade

Let \( g \) = number of games played.

Step6: Write total cost expression

Fixed cost + variable cost: \( 1 + 0.75g \)

Step7: Match expression to descriptions

Identify phrases matching \( 1 + 0.75g \)

Step8: Substitute \( g=8 \) into expression

$1 + 0.75(8) = 1 + 6$

Step9: Calculate final arcade cost

$1 + 6 = 7$
---

Answer:

Pizza & Iced Tea

a. Variable: \( x \) = cost of iced tea (in dollars). Expression: $\frac{15 + x}{5}$
b. $\$5.40$

Arcade Cost

a. Variable: \( g \) = number of games played. Expression: \( 1 + 0.75g \)
b. B. The sum of 1 and the product of 0.75 and a number; C. 1 more than 0.75 times a number
c. $\$7.00$