The table below shows function r, which represents the total cost of a field trip to the science museum, in dollars, if n students return permission slips to attend.
n r(n)
0 55
5 130
15 280
30 505
35 580
Which function represents the situation?
A.
r(n) = 5n + 45
B.
r(n) = 30n - 20
C.
r(n) = 55n + 15
D.
r(n) = 15n + 55
Answers
Answer:
Step-by-step explanation:
Given:
n r(n)
0 55
5 130
15 280
30 505
35 580
Since the data represents the linear function.
So, we will use two point slope from :
--a
Substitute the values in the a :
y represents the total cost of a field trip to the science museum,
x represents number of students.
Since we are given
r(n) represents the total cost of a field trip to the science museum,
n represents number of students.
So, the required equation :
Hence Option D is correct.
"Answer: D. r (n) = 15n + 55
Given:
Function r, which represents the total cost of a field trip to the science museum
Solution:
To obtain the perfect relation which represents the situation among the options given:
Substitute one by one, the value of n in every relation:
For verification take n = 15, r (n) should be 280
A. r(15) = => Gives 120
B. r(15) = => Gives 840
C. r(15) = => Gives 430
D.r(15) = => Gives 280
Hence, the right option is D. r (n) = 15n + 55"