Math, asked by shaye1013412, 1 year ago

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

Answered by wifilethbridge
8

Answer:

r(n)=15n+55

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 :

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)  --a

(x_1,y_1)=(0,55)

(x_2,y_2)=(5,130)

Substitute the values in the a  :

y-55=\frac{130-55}{5-0}(x-0)

y=15x+55

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 : r(n)=15n+55

Hence Option D is correct.

Answered by mindfulmaisel
5

"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) = 5 \times 15 + 45 => Gives 120

B. r(15) = 30 \times 15 - 20 => Gives 840

C. r(15) = 55 \times 15 + 15 => Gives 430

D.r(15) = 15 \times 15 + 55 => Gives 280

Hence, the right option is D. r (n) = 15n + 55"

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