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线性建模・建立方程挑战
A cooking school is offering a promotion where the first class is free, the second class is half of the regular price, and the remaining classes are regularly priced. If the regular price of a class is $22.80, which function \( f \) gives the total cost, in dollars, of x classes taken using this promotion, where \( x\ge2 \) ?
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线性建模・建立方程挑战
A painting studio is offering a promotion where the first class is free, the second class is half off the regular price, and the remaining classes are regularly priced. If the regular price of a class is $26.40, which function \( f \) gives the total cost, in dollars, of x classes taken using this promotion, where \( x\ge2 \) ?
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线性建模・建立方程进阶
Tanya drove on the highway and on local roads to complete a trip of 290 miles. The drive took 5 hours. She drove an average speed of 65 miles per hour (mph) on the highway and an average speed of 30 mph on local roads. If x is the time, in hours, Tanya drove on the highway and y is the time, in hours, she drove on local roads. Which system of equations represents this situation?
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线性建模・建立方程进阶
A dance studio charges an introductory fee for the first 3 lessons and then charges a fixed fee for each additional lesson. One student took 6 lessons and was charged $150. Another student took 17 lessons and was charged $480. Which function \( f \) gives the total charge, in dollars, for any student who took x lessons, where \( x>2 \) ?
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线性建模・建立方程进阶
A group of students purchase ice cream cones and ice cream sundaes. The cones cost $1.40 each, and the cost for 19 sundaes is $64.60. The total cost for the cones and sundaes is $85.60. Which equation represents this situation, where x is the number of cones purchased and y is the number of sundaes purchased?
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线性建模・建立方程挑战
A computer repair specialist charges $160 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 6 hours of repair is $360. Which function \( f \) gives the total cost, in dollars, for x hours of repair, where \( x\ge2 \) ?
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线性建模・建立方程进阶
A club plans to sell tote bags. The club members estimate they will sell 80 tote bags when the bags are priced at $9 each. For every price increase of $1, they estimate they will sell 8 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $12 each? (revenue = price × number sold)
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线性建模・建立方程进阶
Quinidra drove her car on a straight road to a certain location. The graph models Quinidra's distance, in miles, from her home as a function of time, in hours. Which of the following could the model describe?
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线性建模・建立方程进阶
A gym charges its members a onetime $34 enrollment fee and a membership fee of $16 per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of $178 at the gym?
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线性建模・建立方程挑战
A carpenter charges a flat rate of $216 for the first 3 hours of work and $60 for each additional hour of work. Which equation gives the total amount y, in dollars, that the carpenter charges for x hours of work, where \( x>3 \) ?
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线性建模・建立方程挑战
The total cost \( f(x) \) , in dollars, to lease a car for 24 months from a particular car dealership is given by \( f(x)=24x+1,000 \) , where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $300?
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线性建模・建立方程挑战
At an amusement park, visitors wait in line for a certain ride. People in this line get on the ride at a rate of 14 people per minute. At the end of a certain day, 238 people are in line for the ride when the line closes. If these 238 people will get on the ride and no additional people are allowed to get in line, which function p models the number of people who remain in line t minutes after it closes?
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