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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. Which function represents the situation?

A.
r(n) = 15n + 55
B.
r(n) = 55n + 15
C.
r(n) = 30n - 20
D.
r(n) = 5n + 45

The table below shows function r, which represents the total cost of a field trip-example-1

2 Answers

3 votes

The answer has to be A) r(n) = 15n +55, as when n=0, r(n)=55 so the equation must end with +55.

User Steve Banton
by
8.4k points
3 votes

Answer:

A.
r(n)=15*n+55

Explanation

Since the value of n is given in the table as 0,5,15,30 and 35.So we will put the value of n in the given option starting from A.

Now putting the value of n as 0 in option A

we get
r(n)=15*n+55


r(0)=15*0+55\\r(0)=55

Now putting the value of n as 5 in option A

we get
r(n)=15*n+55


r(5)=15*5+55\\r(0)=130

Now putting the value of n as 15 in option A

we get
r(n)=15*n+55


r(15)=15*15+55\\r(0)=280

Now putting the value of n as 30 in option A

we get
r(n)=15*n+55


r(30)=15*30+55\\r(0)=505

Now putting the value of n as 35 in option A

we get
r(n)=15*n+55


r(35)=15*35+55\\r(0)=580

After seeing the results of each value we see that option A is matching with all the given values. So the correct answer is A.

User AVTUNEY
by
7.7k points
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