Question

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Answer 1

Answer:

The required equation will be:

• 200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

$y = mx+b$

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:

• 200 = 3n + 60  

Answer 2

The equation that determines the no of students should be 200 = 3n + 60  

Equation need to be used:

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

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