Question

Two online spice retailers sell paprika by the pound using the following pricing chart.

Answer 1

The linear equation for both retailers are $y =11.75x+4$ and $y =10.25x +16$, respectively

What is a linear function?

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

$y=mx+c$

Where

• m represents slope
• c represents the y-intercept

Linear Equation of Retailer 1

Start by calculating the slope using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{51 - 15.75}{4-1}$

$m = \frac{35.25}{3}$

$m = 11.75$

The linear equation is then calculated as:

$y =m(x -x_1) + y_1$

So, we have:

$y =11.75(x -1) + 15.75$

$y =11.75x -11.75 + 15.75$

$y =11.75x+4$

Linear Equation of Retailer 2

Start by calculating the slope using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{57 - 26.25}{4-1}$

$m = \frac{30.75}{3}$

$m = 10.25$

The linear equation is then calculated as:

$y =m(x -x_1) + y_1$

So, we have:

$y =10.25(x -1) + 26.25$

$y =10.25x -10.25 + 26.25$

$y =10.25x +16$

Hence, the linear equation for both retailers are $y =11.75x+4$ and $y =10.25x +16$, respectively

Read more about linear functions at:

brainly.com/question/14323743