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Katena32 [7]
2 years ago
11

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 rev

enue 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?
Mathematics
1 answer:
Helga [31]2 years ago
3 0

Answer:

See below under "Explanation".

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle f(x) = 3.55x - 4

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

<u>Step 2: Find Profit</u>

To find the <em>profit</em> the store makes each day, we <em>input</em> 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 <em>17 customers</em> 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 <em>21 customers</em> 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 <em>24 customers</em> 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 <em>34 customers</em> visited the store.

---

Learn more about functions: brainly.com/question/27710450

Learn more about Algebra I: brainly.com/question/27710380

---

Topic: Algebra I

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