Mathematics>Standard Multiple Choice
Read the following SAT test question and thenclick on a button to select your answer.
During his busiest week as an origami artist, Natemade 20 origami figures per hour on weekdays and 30 per hour on the weekend. During this particular week, Nate made a total of 650 origamifigures by working 5 times as many hours on weekdays as he did on the weekend. If he workedx hours on the weekdays and y hours on the weekend, how many total hours did he workduring this week?
A.5
B.20
C.25
D.30
答案：D
解析：
Option D is correct. If Nate worked 5 times as manyhours on weekdays than on weekends, the firstequation in the system is x=5y. If Nate made 20 origami figures per hour during weekdays, and 30 origami figures per hour during the weekend, and 650 origami figures the second equation inthe system is 20x+30y=650.
Next, substitute 5y for x in the second equation and solve for y to find that the total numberof hours Nate worked on the weekend was 5. Then, substitute 5 for y in the first equationand solve for x to find that the total number of hours Nate worked on weekdays was 25. Lastly, find the total number of hours Nate worked during the week by finding x+y=30; that is, Nate worked 30 hours total.
Mathematics>Standard Multiple Choice
Read the following SAT test question and thenclick on a button to select your answer.
A company sells bottles of water. Using data from arandom sample of all water bottles, the meanvolume, in liters, of water per bottle is 0.96. The margin of error for this estimation is 0.08 liters of water. Which of the following is the most appropriate claim to make based on thissample?
A.The company always fills its water bottles with less than 1 liter of water.
B.The company always fills its water bottles with between 0.96 liters and 1.04 liters of water.
C.The company always fills its water bottles with between 0.88 liters and 1.04 liters of water.
D.It is plausible that the mean volume of all bottles sold by the company is in the range 0.88 liters to 1.04 liters.
答案：D
解析：
Option D is correct. The margin of error isassociated with the mean estimate for all the waterbottles based on the mean of the sample bottles soit is likely that the mean volume of all bottles isbetween 0.96-0.08 and 0.96+0.08 liters, or between 0.88 and 1.04 liters.
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