Question

Zahra compares two wireless data plans Which equation gives the correct value of n

the number of GB for which Plans A and B cost the same
(G8 means 'gigabytes of data)
Wireless Plan A
No initiate fee and 8$ for each GB
Wireless Plan B
$20 for the
first 2 GB
$6 for each
additional GB
after the first 2
A) 8n = 20 + 60
B) 8n= 20(2n) + 6
C) 8n = 20 + 6(n-2)
D) 8n = 20 + 2n+6

Answer 1

I am very late to answer this, but I want to help others who struggle on this question! The answer and explanation is in the picture, thank me later! :)

Answer 2

8n=20+6(n-2)

Explanation:

n is the number of GB

Plan A has no initial fee and charges 8$ per each GB

So A has an equation that is y=0+8n or just y=8n.

Plan B has 20 for the first 2 GB and $6 for each addition GB after the first 2.

So B has an equation that is y=0+20+6(n-2) assuming n is 2 are greater.

So the two equations are y=8n and y=20+6(n-2).

We want Plan A to be the same as Plan B.

So we need to solve:

8n=20+6(n-2).

Let's check our equation:

Distribute:

8n=20+6n-12

Subtract 6n on both sides:

2n=20-12

2n=8

Divide both sides by 2:

n=4

Plan A charges 8 dollars ber GB, so plan A charges 4(8)=32 dollars.

Plan B charges 20 dollars for the first 2GB and 6 dollars for each GB after so we used 4 which means we are spending 20+6(2)=20+12=32 dollars.

They are the amount so n=4 is right.