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Use the given cost tables for the same product from two different companies to create a linear system.
Then solve the system to determine when the cost of the product will be the same and what the price will
be.
Letr(n) represent the cost of paper towels at Restaurant Warehouse and let s (n) represent the cost of
paper towels at Supply Side Kitchen, where n is the number of cases of paper towels.
Restaurant Warehouse
Paper Towels (cases)
5
Supply Side
$209.20
$329.20
10
$499.15
$399.15
15
$669.10
$589.10
r(n) =
n+
s(n) =
n+
Both Restaurant Warehouse and Supply Side charge $
for
cases of paper towels.

Use The Given Cost Tables For The Same Product From Two Different Companies To Create A Linear System Then Solve The System To Determine When The Cost Of The Pr class=

Sagot :

MrRoyalidn

A linear function is used to represent functions that have a constant rate

  • [tex]r = 33.99n +159.25[/tex].
  • [tex]s = 37.99n +19.25[/tex].
  • Both restaurants charge at different rates

Linear functions

A linear function is represented as:

[tex]y=mx + b[/tex]

Where

  • m represents the rate
  • b represents the y-intercept

The equations

For restaurant warehouse:

Start by calculating the slope (m) using:

[tex]m = \frac{r_2 -r_1}{n_2 -n_1}[/tex]

So, we have:

[tex]m = \frac{499.15 - 329.20}{10-5}[/tex]

[tex]m = \frac{169.95}{5}[/tex]

[tex]m = 33.99[/tex]

The equation is then calculated as:

[tex]r = m(n -n_1) + r_1[/tex]

So, we have:

[tex]r = 33.99(n -5) + 329.20[/tex]

Expand

[tex]r = 33.99n -169.95 + 329.20[/tex]

[tex]r = 33.99n +159.25[/tex]

For supply side:

Start by calculating the slope (m) using:

[tex]m = \frac{s_2 -s_1}{n_2 -n_1}[/tex]

So, we have:

[tex]m = \frac{399.15 - 209.20}{10-5}[/tex]

[tex]m = \frac{189.95}{5}[/tex]

[tex]m = 37.99[/tex]

The equation is then calculated as:

[tex]s = m(n -n_1) + s_1[/tex]

So, we have:

[tex]s = 37.99(n -5) + 209.20[/tex]

Expand

[tex]s = 37.99n -189.95 + 209.20[/tex]

[tex]s = 37.99n +19.25[/tex]

Read more about linear functions at:

https://brainly.com/question/14323743

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