Question

Admission to the fair costs $8.75. Each ride costs $0.50 to ride. You can spend at most $16. Write and solve an inequality to represent the possible number of rides you can ride.

Answer 1

Answer:

the equation:     8.75 + 0.50x ≤ 16

answer:       x ≤ 14

Step-by-step explanation:

equation portion:

you're paying $8.75 to enter

each ride is $0.50

x is the number of rides you're going to

and it's ≤ 16 because the most u can spend is $16, meaning you can't go over the limit. so it's either you spend some of your money or spend all

answer:

you have to subtract 8.75 from both sides of the equation, leaving you with 0.50x ≤ 7.25

then you divide .50 from both sides, giving you x ≤ 14.5

because you can't ride half a ride, you round 14.5 to 14

so your answer is x ≤ 14

hope that makes sense!

Answer 2

Answer:

0.50x + 8.75 ≤ 16

You can ride 14 rides.

Step-by-step explanation:

We know that we can't spend more than $16, so whatever our total comes to must be less than or equal to $16.

We also know that the flat rate to get into the fair is $8.75. We will only have to pay this fee once.

Lastly, we know that each ride costs $0.50 to ride. This is the variable that will change, so this is where we add in our x value. Now, we can solve.

0.50x + 8.75 ≤ 16

Get the x variable alone by subtracting 8.75 from both sides.

0.50x + 8.75 - 8.75 ≤ 16 - 8.75

0.50x ≤ 7.25

Now, we divide both sides by 0.50 to get the x alone. This will tell us the number of rides we can ride.

0.50x/0.50 ≤ 7.25/0.50

x ≤ 14.50

Now, even though our answer came out to be 14.5, we know that we can't ride half a ride, and if we rounded up we'd be spending too much money. So, our final answer is that we can ride 14 rides.