Mr. Brown is organizing a camping trip for the students in his scout troop. He has the following breakdown of how much it would cost him per day of the camping trip.
Campground rental: $200 per day
Training Cost: $20 per student per day
Food Cost: $30 per student per day
Miscellaneous Expenses: $50 per student per day
Camping Gear Cost: $1,050 (one-time cost)
Mr. Brown's total cost for organizing a 3-day camping trip with b students is represented by the expression below.
$1,650+$300b
Which statement best describes the coefficient of b?
A.
It is Mr. Brown's daily cost per student, with training, food, and miscellaneous expenses.
B.
It is Mr. Brown's total 3-day cost per student, with training, food, and miscellaneous expenses.
C.
It is Mr. Brown's daily cost per student for campground rental and the camping gear.
D.
It is Mr. Brown's total cost per day for campground rental and the camping gear.
Answers
Answer:
Option C
Step-by-step explanation:
You forgot to attach the expression that models the cost of the camping trip during the three days. However, by analyzing the units, the answer can be reached.
The total cost has to be in units of $.
There are two types of costs in the problem:
Those that depend on the number of days ($/day)
Those that depend on the number of students and the number of days ($/(student * day))
If there are 3 days of camping and b students, then you have to multiply the costs that depend on the days by the number of days (3), and the costs that depend on the number of students you have to multiply them by 'b'
So, if the costs that must be multiplied by 'b' are only those that depend on the number of students, the coefficient of b must be:
3 days (Cost of training + Cost of food Miscellaneous expenses
Therefore the correct answer is option C:
C. It is the total cost of 3 days per student of Mr. Brown, with training, food and miscellaneous expenses.
The expression that represents the total expense should have a formula similar to this:
y = 3 ($ 100b + $ 200) + $ 1050
me