A caterer charges $120 for 15 people to cater a party and $7 per person after that. Assume that the cost, y, is a linear function of the number of x people. Write an
equation in slope-intercept form for this function.

Answer

120=7x+15

Step-by-step explanation:

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.

y = 12x +135.

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

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:

answer: x=60