Could anyone please help me with these problems? Please show all the work! WIll mark brainiest!!! ITS DUE TOMMOROW PLSSSS
1. The media reported that Olympic gold medalist Michael Phelps regularly consumed at least 8,000 calories per day when he was training for the Olympics. In order to do this, he ate at least three extra-large meals and also consumed a maximum of 2,000 calories worth of special energy drinks each day.
a.Write and graph an inequality to represent the number of calories from energy drinks Michael Phelps drank per day while training
b.Write and graph an inequality to represent the total number of calories Michael Phelps consumed each day.
2. Write a situation about Michael Phelps in which the inequality 3m + 2,000 ≥ 8,000 would represent the situation.
3. To keep from losing weight while training, athletes must not burn more calories than they consume in a day. On one day, Michael Phelps burned 1,000 calories per hour while swimming and an additional 3,000 calories while out of the pool. Write and solve an inequality to estimate the number of hours he swam that day if his daily average caloric intake was at most 9,000 calories.
4. An athlete wants to maintain a net caloric intake of no more than 2,000 calories for the day.
a. Write and solve an inequality to determine how many hours she must train if she burns an average of 750 calories per hour and eats a total of 8,000 calories.
b. Graph the solution to your inequality on a number line. Explain why your answer to part a is a solution to this situation.
c. If she trains 8 hours per day, what is the greatest caloric intake she can have to keep from losing weight? Explain your reasoning.