Question

Jeannette is participating in a hot dog eating contest. She has already eaten 20 hot dogs but needs to eat more than 34 hot dogs to win. Jeannette is eating 3.1 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to eat hot dogs to win the contest?
3.1x > 20
3.1x > 34
3.1x - 20 > 34
3.1x + 20 > 34

Answer 1

What do you already know that would help you solve this problem?
What do you need to know?
Once you've answered these questions, others or I could help you get started.

Answer 2

Use the "rate of change" (or just "rate") below:\[\frac{ 3.1hotdogs }{ \min }\]

Answer 3

wow

Answer 4

(rate)*(time)=number of hotdogs eaten

Answer 5

oh

Answer 6

Wow. Isn't Equation Editor nice? You, too, could learn how to use that.

Answer 7

So the rate here is 3.1 hotdogs/minute. For 20 hotdogs, you have to divide 20 by 3.1 to find how much minutes did she take now. Tell me the answer

Answer 8

Amount = rate * time, yes.

solving for time: \[time=\frac{ Amount }{ rate }\]

Answer 9

3.1x - 20 > 34

Answer 10

Great you figured it out

Answer 11

3.1x + 20 > 34

Answer 12

I won't pick on you this time, but next time please show the work you did to get your answer. Let's move on to the next problem.

Answer 13

ok

Answer 14

Im ready for the next question

Answer 15

Karla's doctor recommended her daily caffeine intake stay under 500 milligrams. Today, Karla has already had 430 milligrams of caffeine. Her favorite soda contains 35 milligrams. Which of the following inequalities could be used to solve for x, the number of sodas Karla can still have today?
35x + 430 < 500
35x < 500
35x - 430 < 500
35x < 930

Answer 16

Post it separately, please, not here.

Answer 17

You know by now, jeremy: I'd like to see your efforts and to read your questions before infinity or I start helping. Apply what you've learned from previous problem solving to solve this new problem.