Question

#6 each evening, maria walks, jogs, and runs for a total of 60 minutes. the graph above shows marias speed during the 60 minutes. which segment of the graph represents the times when marias speed is the greatest?
a) the segment from (17,6) to (19,8)
b) the segment from (19,8) to (34,8)
c) the segment from (34,8) to (35,6)
d) the segment from (35,6) to (54,6)
#7 john runs at different speeds as part of his training program. the graph shows his target heart rate at different times during his workout. on which interval is the target heart rate strictly increasing then strictly decreasing?
a) between 0 and 30 minutes
b) between 40 and 60 minutes
c) between 50 and 65 minutes
d) between 70 and 90 minutes
#8 1 decagram = 10 grams
1,000 milligrams = 1 gram
a hospital stores one type of medicine in 2 - decagram containers. based on the information given in the box above, how many 1 - milligram doses are there in one 2 - decagram container?
a) 0.002
b) 200
c) 2,000
d) 20,000
#9 rooftop solar panel installations in five cities
the number of rooftops with solar panel installations in 5 cities is shown in the graph above. if the total number of installations is 27,500, what is an appropriate label for the vertical axis of the graph?
a) number of installations (in tens)
b) number of installations (in hundreds)
c) number of installations (in thousands)
d) number of installations (in tens of thousands)
#10 number of seeds in each of 12 apples
based on the histogram above, of the following, which is closest to the average (arithmetic mean) number of seeds per apple?
a) 4
b) 5
c) 6
d) 7
#11 a group of tenth - grade students responded to a survey that was asked which math course they were currently enrolled in. the survey data were broken down as shown in the table above. which of the following categories accounts for approximately 19% of all survey respondents?
a. females taking geometry
b. females taking algebra ii
c. males taking geometry
d. males taking algebra i

Explanation:

#6

Step1: Identify y - axis as speed

The y - axis of the graph represents Maria's speed in miles per hour.

Step2: Compare y - values of segments

We check the y - values of each segment.

• Segment from (17,6) to (19,8): y - values range from 6 to 8.
• Segment from (19,8) to (34,8): y = 8.
• Segment from (34,8) to (35,6): y decreases from 8 to 6.
• Segment from (35,6) to (54,6): y = 6.

The highest y - value is 8, and the segment with a constant y - value of 8 for the longest time is from (19,8) to (34,8).

Step1: Analyze increasing and decreasing intervals

An increasing interval on a graph of target - heart rate (y - axis) vs time (x - axis) has a positive slope, and a decreasing interval has a negative slope.

Step2: Check each option

• Option A: Between 0 and 30 minutes, the heart - rate is constant then increases, not strictly increasing then strictly decreasing.
• Option B: Between 40 and 60 minutes, the heart - rate is increasing then decreasing, but not strictly increasing then strictly decreasing.
• Option C: Between 50 and 65 minutes, the heart - rate is not strictly increasing then strictly decreasing.
• Option D: Between 70 and 90 minutes, the heart - rate is strictly increasing from 120 to 160 and then strictly decreasing from 160 to 120.

Step1: Convert 2 - decagram to grams

Since 1 decagram = 10 grams, then 2 decagrams = 2×10 = 20 grams.

Step2: Convert grams to milligrams

Since 1 gram = 1000 milligrams, then 20 grams = 20×1000=20000 milligrams.
So there are 20000 1 - milligram doses in a 2 - decagram container.

Answer:

B. The segment from (19,8) to (34,8)

#7