The correct answer is:
(y−10)=−5(x−10)
14. Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. Given the two points we know: (3, 45) and (10, 10), what would the point slope equation look like?(1 point) Responses (y+10)=−5(x−10) open paren y plus 10 close paren is equal to negative 5 times open paren x minus 10 close paren (y−10)=−5(x+10) open paren y minus 10 close paren is equal to negative 5 times open paren x plus 10 close paren (y−45)=−5(x−3) open paren y minus 45 close paren is equal to negative 5 times open paren x minus 3 close paren (y−3)=−5(x−45)
3 answers
Kimberly: Time (seconds) Jumping Jacks 3 17 8 37 12 53 16 69 Katrina: Time (seconds) Jumping Jacks 2 10 5 25 12 60 20 100(3 points) a. Which person is doing more jumping jacks per second? b. Which person had done more jumping jacks initially before the timer started? c. Which person shows a proportional relationship?
a. To determine which person is doing more jumping jacks per second, we can calculate the rate of jumping jacks per second for each person.
For Kimberly:
Jumping jacks per second = total jumping jacks / time in seconds
Jumping jacks per second = (69 - 17) / (16 - 3)
Jumping jacks per second = 52 / 13
Jumping jacks per second = 4
For Katrina:
Jumping jacks per second = total jumping jacks / time in seconds
Jumping jacks per second = (100 - 10) / (20 - 2)
Jumping jacks per second = 90 / 18
Jumping jacks per second = 5
Therefore, Katrina is doing more jumping jacks per second than Kimberly.
b. To determine which person had done more jumping jacks initially before the timer started, we can look at the time when each person had 0 jumping jacks.
For Kimberly, when time is 0 seconds, she had done 0 jumping jacks.
For Katrina, when time is 0 seconds, she had done 0 jumping jacks as well.
Therefore, both Kimberly and Katrina had done the same number of jumping jacks initially before the timer started.
c. To determine if there is a proportional relationship, we can compare the rates of jumping jacks per second for different time intervals.
For Kimberly:
Jumping jacks per second = (69 - 17) / (16 - 3) = 4.4
Jumping jacks per second = (53 - 17) / (12 - 3) = 4.6
For Katrina:
Jumping jacks per second = (100 - 10) / (20 - 2) = 6
Since the rates for both Kimberly and Katrina are not the same for different time intervals, there is no proportional relationship between the number of jumping jacks and time for either person.
For Kimberly:
Jumping jacks per second = total jumping jacks / time in seconds
Jumping jacks per second = (69 - 17) / (16 - 3)
Jumping jacks per second = 52 / 13
Jumping jacks per second = 4
For Katrina:
Jumping jacks per second = total jumping jacks / time in seconds
Jumping jacks per second = (100 - 10) / (20 - 2)
Jumping jacks per second = 90 / 18
Jumping jacks per second = 5
Therefore, Katrina is doing more jumping jacks per second than Kimberly.
b. To determine which person had done more jumping jacks initially before the timer started, we can look at the time when each person had 0 jumping jacks.
For Kimberly, when time is 0 seconds, she had done 0 jumping jacks.
For Katrina, when time is 0 seconds, she had done 0 jumping jacks as well.
Therefore, both Kimberly and Katrina had done the same number of jumping jacks initially before the timer started.
c. To determine if there is a proportional relationship, we can compare the rates of jumping jacks per second for different time intervals.
For Kimberly:
Jumping jacks per second = (69 - 17) / (16 - 3) = 4.4
Jumping jacks per second = (53 - 17) / (12 - 3) = 4.6
For Katrina:
Jumping jacks per second = (100 - 10) / (20 - 2) = 6
Since the rates for both Kimberly and Katrina are not the same for different time intervals, there is no proportional relationship between the number of jumping jacks and time for either person.
1 answer