Asoftware company is throwing a dinner party for its employees at a hotel. mr. spencer recorded the prices for two different catering companies in the table below. company initial payment rate per employee fantastic catering $135 $12 devoted catering $0 $15 create a system of linear equations that describes the total cost, y, to cater a dinner party for x employees. write the slope-intercept form of the equation for fantastic catering followed by the slope-intercept form of the equation for devoted catering. do not include dollar signs in the equations.

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

$135                                         $12

        $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;