Answer:
750 < p < 1500
Step-by-step explanation:
The total cost of the affair for p attendees is ...
750 +2.25p
The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...
2.75 < (750 +2.25p)/p < 3.25
2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts
0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25
2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*
1500 > p > 750 . . . . . . . . matches choice 4
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* Taking the reciprocals of numbers with the same sign reverses their order:
2 < 3 but 1/2 > 1/3
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An alternate approach to the solution would be to multiply by p:
0.50p < 750 < 1.00p
To solve this requires it be made into two inequalities:
0.50p < 750 ⇒ p < 1500
and
750 < 1.00p ⇒ 750 < p
Then these would need to be recombined to form the answer:
750 < p < 1500
Answer:
Step-by-step explanation:
total cost = c
students = s
cost = 7
c = s*7
independent is s
dependent is c
Answer:
42
Step-by-step explanation:
9^2*7-2*7
56-14
42
I hope this helps.
Answer: $357 is more amount budgeted for food increase.
Explanation:
Since we have given that
Number of people according to the budget = 150
Cost of food per person= $4.25
Total cost of food is given by

If the number of guests attending the opening was 56% more than expected,
So, number of guests now is given by

Total cost of food is given by
Difference between them is given by

Hence, $357 is more amount budgeted for food increase.