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

A.

Step-by-step 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

Now putting the value of n as 5 in option A

we get

Now putting the value of n as 15 in option A

we get

Now putting the value of n as 30 in option A

we get

Now putting the value of n as 35 in option A

we get

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.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2