Question

The money collected from selling bacon at a butcher store is given by the function f(x) = 3.55x – 4, where f(x) is the sales revenue in dollars and x is the number of customers visiting the store each day. If {17, 21, 24, 34} customers visited over four days, what is the income from bacon sales each day?

Answer 1

Answer:

See below under "Explanation".

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Functions

• Function Notation

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle f(x) = 3.55x - 4$

$\displaystyle x = \{ 17, 21, 24, 34 \}$

Step 2: Find Profit

To find the profit the store makes each day, we input the number of customers that visited the store each day into our given function:

For the day that had 17 customers:

$\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}$

∴ the butcher store made $56.35 when 17 customers visited the store.

For the day that had 21 customers:

$\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}$

∴ the butcher store made $70.55 when 21 customers visited the store.

For the day that had 24 customers:

$\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}$

∴ the butcher store made $81.20 when 24 customers visited the store.

For the day that had 34 customers:

$\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}$

∴ the butcher store made $116.70 when 34 customers visited the store.

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Topic: Algebra I