Answer:
The required equation will be:
Step-by-step explanation:
We know the slope-intercept form of the line equation

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
- Let 'n' represents the number of students (n).
- Let 'c' represents the cost budget.
Given that Bea's catering charges $3 per person.
- Thus, the slope or rate of change = m = 3 dollars per person
Given that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
- Thus, the y-intercept b = 60
Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be: