可汗
26.A company that produces thumb drives has determined that its maximum profit occurs when it sells 5,000 units per month. For every 500 units above or below 5,000 the company sells, its profit decreases by $1,500. Which of the following could be the number of units sold in a month if the company's profit decreased $12,000 from the maximum? Round the answer to the nearest whole number.
A.100 or 900 units
B.1,000 or 9,000 units
C.460 or 540 units
D.4,600 or 5,400 units
correct answer: B difficult degree: 3
27.Rani is a real estate agent. For each house she sells, she pays $100 in fees, but earns a commission of 1.8% of the selling price of the house. Rani's total profit from a particular house is $4,580. If p represents the selling price of the house, which equation best models the situation?
A.0.018p−100=4580
B.0.018p+100=4580
C.(100−0.018)p=4580
D.(100+0.018)p=4580
correct answer: A difficult degree: 3
28.A rectangular garden has a length of 60 feet (ft), a width of w ft, and a perimeter of 200 ft. Which of the following equations best models the garden's perimeter?
A.60+w=200
B.60+2w=200
C.120+w=200
D.120+2w=200
correct answer: D difficult degree: 3
29.A barber offers two options at his barbershop: a $15.00 regular haircut and a $20.00 deluxe haircut that includes a shave. On a certain day, the barber gave 3 fewer deluxe haircuts than he did regular haircuts, h, and earned $500.00 in total from the two kinds of haircuts. Which of the following equations best models this situation?
A.15.00h+20.00(h−3)=500.00
B.15.00h+20.00(h+3)=500.00
C.15.00(h−3)+20.00h=500.00
D.15.00(h+3)+20.00h=500.00
correct answer: A difficult degree: 3
30.A car rental company charges $34.50 a day plus a tax of 6% to rent an economy size car. Additionally, the company charges a one-time untaxed fee of $10.50 for each rental. If a customer is charged $193.98 in total to rent an economy size car for d days, which of the following equations models the situation?
A.(34.50+1.06d)+10.50=193.98
B.1.06(34.50d+10.50)=193.98
C.1.06(34.50d)+10.50=193.98
D.(1.06(34.50)+10.50)d=193.98
correct answer: C difficult degree: 3
31.Erica has $50.00 saved and receives an allowance of $20.00 each week. Her older brother, Paolo, has $20.00 saved and receives an allowance of $25.00 each week. Which of the following equations best models the number of weeks, w, that must pass for the siblings to have the same amount of money saved? Assume that Erica and Paolo save all of their money during this time period.
A.50.00+20.00w=20.00+25.00w
B.50.00w+20.00=20.00w+25.00
C.20.00(50.00+w)=25.00(20.00+w)
D.20.00w+25.00w=50.00+20.00
correct answer: A difficult degree: 3