Question

The admission fee to a state fair is $6.00. Each ride costs an additional $2.00. Karen only has $20.00. Which inequality could be used to determine the number of rides, x, Karen can go on?

Answer 1

C. 2x+6≤20

Explanation:

So admission is $6.

So thats to get in.

You pay $2 for every ride you go on.

Since its for every ride, you need the x to be times by 2 because x is the number of rides and 2 is the amount for each ride. 2x

You only have $20.

The total amount cannot be more than 20 meaning that you can spend $20 or less on a ride making the sign a less than/equal to sign.

Putting the equation together, You add the admission fee to the rides, 2x+6, then have the 20 after the less than/equal to sign.

2x+6≤20

Answer 2

C

Explanation:

First, Karen only has $20, so her spending cannot go over this amount. That would would that she can spend exactly $20 or less than $20. We need a equal to/less than sign before $20, so answer choices A and D can easily be eliminated.

Next, the admission costs $6. This is a cost that Karen will only pay one time, so it's represented by + 6. This eliminates B, but I will still explain why C is completely correct.

Each ride costs $2, meaning that we can represent this amount with 2x, which is just $2 times the amount of rides she will go on. When fully written out, the inequality is 2x + 6 (less than or equal to sign) 20, making C the correct answer.