A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1300. The law firm assigned 3 more partners than associates to the case and was able to charge the client $12300 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.

The system of equations is y = x + 3 and 800x + 1300y = 12300 where x represents the number of associates assigned and y represents the number of partners assigned.

Step-by-step explanation:

Let,

x be the number of associates assigned

y be the number of partners assigned

According to given statement;

y = x + 3    

800x + 1300y = 12300

Hence,

The system of equations is y = x + 3 and 800x + 1300y = 12300 where x represents the number of associates assigned and y represents the number of partners assigned.

the line of

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is