Yanyin is loading identical boxes onto a pallet. Each box weighs 35 pounds, and the pallet can hold a maximum of 1,500 pounds. Which of the following inequalities best describes x, the number of boxes Yanyin can load onto the pallet?Choose 1 answer:(A) x+35≥1,500(B) x+35≤1,500(C) 35x≥1,500(D) 35x≤1,500 Get tutor help
Hyun Yong wants to donate more than $5,000 in laptops and bicycles. Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100. Which of the following inequalities represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal?Choose 1 answer:(A) 100L+200B<5,000(B) 200L+100B<5,000(C) 200L+100B>5,000(D) 100L+200B>5,000 Get tutor helpVictoria is running a fundraising campaign for the local community center. Her goal is to raise more than $5,500. If the campaign has already raised $2,324, which of the following inequalities can be solved to find x, the amount of money that still needs to be raised for Victoria to meet her goal?Choose 1 answer:(A) x−2,324>5,500(B) 2,324+x>5,500(C) x−2,324<5,500(D) 2,324+x<5,500 Get tutor helpR(x)=x(60,000−1,000x)The function models R, the revenue, in dollars, from selling a particular board game at a price of x dollars. What is the revenue if the board game is sold at a price of 30 dollars?Choose 1 answer:(A) $500,000(B) $800,000(C) $900,000(D) $1,770,000 Get tutor helpA pizza delivery worker purchased a used motor scooter that had been driven 12,100 miles. He drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. After d days of pizza delivery, the motor scooter has been driven a total of 25,000 miles. Which of the following equations best models this situation?Choose 1 answer:(A) 50(12,100+d)=25,00(B) 12,100+50d=25,000(C) 12,100d+50=25,000(D) 12,100+50d=25,000 Get tutor helpAt the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41,790 oranges. If t is the initial number of trees on MacDonald's farm, which of the following equations best describes the situation?Choose 1 answer:(A) 41,790(t−5)=200(B) 210(t+5)=41,790(C) 210t−5=41,790(D) 210(t−5)=41,790 Get tutor helpThe payload of an aircraft is the sum of the weight of the people on board, their luggage, and the cargo carried by the aircraft. A particular commercial aircraft has a maximum payload of 35,000 kilograms (kg) and cargo weighing 7,000 kg. If P represents the number of people on board, and the weight of each person plus his or her luggage is assumed to be 100 kg, which of the following inequalities best represents the situation?Choose 1 answer:(A) 7,000+100P≤35,000(B) 7,000−100P≤35,000(C) 7,000+100P≥35,000(D) 100+7,000P≤35,000 Get tutor helpA bookstore owner has monthly fixed costs of $5,500, and for each book sold, she has additional costs of $0.40. The owner does not want her average monthly costs to exceed $7,000. If b is the average number of books sold per month, which of the following inequalities best represents this situation?Choose 1 answer:(A) 5,500+0.40b>7,000(B) 0.40(5,500+b)≤7,000(C) 5,500+40b≤7,000(D) 5,500+0.40b≤7,000 Get tutor helpA particular company charges advertisers a one-time cost of $500, in addition to $4.50 for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear M thousand times on the webpage, but does not want to spend more than $5,000. Which of the following inequalities best describes the situation?Choose 1 answer:(A) 500+4.50M≥5,000(B) 4.50+500M≤5,000(C) 500+4.50M≤5,000(D) 500+4.50M<5,000 Get tutor helpMarisa, an art gallery owner, gets 40% of the gallery's total monthly sales, s, in dollars. Her monthly expenses for running her business are $2,500, and she hopes to make a profit of at least $1,000 per month. If profit is defined as the amount earned from sales minus monthly expenses, which of the following inequalities best describes this situation?Choose 1 answer:(A) 0.40s−2,500≥1,000(B) 0.40s+2,500≥1,000(C) 0.40(s−2,500)≥1,000(D) 0.40(s+2,500)≥1,000 Get tutor helpWhen an Alvia high-speed train that is stopped in Barcelona leaves the station, its speed increases (accelerates) at a constant rate of 3,888 kilometers per hour squared (hr2km). If h is the time, in hours, it takes for the train to reach a speed of 250hrkm, which of the following equations best describes this situation?Choose 1 answer:(A) 250=603,888h(B) 250=3,888h(C) 3,888=250h(D) 250=3,888(60)h Get tutor helpA hot air balloon reaches its maximum cruising height of 1,500ft above sea level. Over the next 5 minutes it descends at a constant rate to a new cruising altitude of 1,200ft above sea level. If x represents the time, in minutes, after starting the initial descent, and y represents the height, in feet, of the hot air balloon, which of the following equations best models the situation for 0≤x≤5 ?Choose 1 answer:(A) y=1,500−5x(B) y=1,500−60x(C) y=1,500−300x(D) y=1,500−1,200x Get tutor help
