Question

Use the given cost tables for the same product from two different companies to create a linear system.

Answer 1

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

• $r = 33.99n +159.25$.
• $s = 37.99n +19.25$.
• Both restaurants charge at different rates

Linear functions

A linear function is represented as:

$y=mx + b$

Where

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

The equations

For restaurant warehouse:

Start by calculating the slope (m) using:

$m = \frac{r_2 -r_1}{n_2 -n_1}$

So, we have:

$m = \frac{499.15 - 329.20}{10-5}$

$m = \frac{169.95}{5}$

$m = 33.99$

The equation is then calculated as:

$r = m(n -n_1) + r_1$

So, we have:

$r = 33.99(n -5) + 329.20$

Expand

$r = 33.99n -169.95 + 329.20$

$r = 33.99n +159.25$

For supply side:

Start by calculating the slope (m) using:

$m = \frac{s_2 -s_1}{n_2 -n_1}$

So, we have:

$m = \frac{399.15 - 209.20}{10-5}$

$m = \frac{189.95}{5}$

$m = 37.99$

The equation is then calculated as:

$s = m(n -n_1) + s_1$

So, we have:

$s = 37.99(n -5) + 209.20$

Expand

$s = 37.99n -189.95 + 209.20$

$s = 37.99n +19.25$

Read more about linear functions at:

brainly.com/question/14323743