Question

1. tiana kept track of the amount of time she spent on social media for a week.

what is not true about the information on the graph?
a tiana spent more time on social media on the weekend than she did the other days combined.
b tiana spent the same amount of time from monday to wednesday combined as she did on sunday alone.
c by thursday, the weekdays daily, she spent half the time on social media as she did on the weekend.
d as her school week started, tiana spent less time on social media than she did on the weekend.

1. zach and carter collect rocks. the table shows how many rocks they have at the end of each day.

days zachs total number of rocks carters total number of rocks
0 0 0
1 2 3
2 4 6
3 6 9
they keep collecting rocks at the same rate. how many rocks will zach and carter have together at the end of day 5?

Explanation:

1. For the first - part (Tiana's social - media time graph problem):

• # Brief Explanations:
• Analyze each option by looking at the graph which shows the number of hours Tiana spent on social media each day of the week.
• Option A: The sum of the hours on non - weekend days is \(1 + 2+1 + 3+4=11\) hours, and the sum of the hours on weekend days (Sunday and Saturday) is \(5 + 5 = 10\) hours. So, Tiana did not spend more time on social media on the weekend than the other days combined, which means this option is not true.
• Option B: The sum of the hours from Monday to Wednesday is \(1+2 + 1=4\) hours, and on Friday she spent 4 hours. This option is true.
• Option C: By looking at the graph, we can see that the increase in time from Wednesday to Thursday is the same as the increase from Thursday to Friday. This option is true.
• Option D: As the graph shows an overall upward trend from Wednesday to Saturday, Tiana spent more time on social media on Saturday than on Wednesday. This option is true.
• # Answer: A. Tiana spent more time on social media on the weekend than she did the other days combined.

1. For the second - part (Zach and Carter's rock - collecting problem):

• # Explanation:
• Step1: Find the rate of rock - collecting for Zach and Carter
• For Zach, in 3 days, he has 6 rocks. The rate \(r_Z=\frac{6}{3}=2\) rocks per day.
• For Carter, in 3 days, he has 9 rocks. The rate \(r_C=\frac{9}{3}=3\) rocks per day.
• Step2: Calculate the number of rocks they will have on day 5
• The number of rocks Zach will have on day 5 is \(n_Z=2\times5 = 10\) rocks (using the formula \(n = r\times t\), where \(r\) is the rate and \(t\) is the time).
• The number of rocks Carter will have on day 5 is \(n_C=3\times5=15\) rocks.
• Step3: Find the total number of rocks they have together
• The total number of rocks \(n=n_Z + n_C=10 + 15=25\) rocks.
• # Answer: 25

Answer:

1. For the first - part (Tiana's social - media time graph problem):

• # Brief Explanations:
• Analyze each option by looking at the graph which shows the number of hours Tiana spent on social media each day of the week.
• Option A: The sum of the hours on non - weekend days is \(1 + 2+1 + 3+4=11\) hours, and the sum of the hours on weekend days (Sunday and Saturday) is \(5 + 5 = 10\) hours. So, Tiana did not spend more time on social media on the weekend than the other days combined, which means this option is not true.
• Option B: The sum of the hours from Monday to Wednesday is \(1+2 + 1=4\) hours, and on Friday she spent 4 hours. This option is true.
• Option C: By looking at the graph, we can see that the increase in time from Wednesday to Thursday is the same as the increase from Thursday to Friday. This option is true.
• Option D: As the graph shows an overall upward trend from Wednesday to Saturday, Tiana spent more time on social media on Saturday than on Wednesday. This option is true.
• # Answer: A. Tiana spent more time on social media on the weekend than she did the other days combined.

1. For the second - part (Zach and Carter's rock - collecting problem):

• # Explanation:
• Step1: Find the rate of rock - collecting for Zach and Carter
• For Zach, in 3 days, he has 6 rocks. The rate \(r_Z=\frac{6}{3}=2\) rocks per day.
• For Carter, in 3 days, he has 9 rocks. The rate \(r_C=\frac{9}{3}=3\) rocks per day.
• Step2: Calculate the number of rocks they will have on day 5
• The number of rocks Zach will have on day 5 is \(n_Z=2\times5 = 10\) rocks (using the formula \(n = r\times t\), where \(r\) is the rate and \(t\) is the time).
• The number of rocks Carter will have on day 5 is \(n_C=3\times5=15\) rocks.
• Step3: Find the total number of rocks they have together
• The total number of rocks \(n=n_Z + n_C=10 + 15=25\) rocks.
• # Answer: 25