b. Write an equation that can be used to find the number of gallons of water, y, in the pool at any time, x. Identify the constant of proportionality in the equation.
Thank u!
a. The coordinates (0, 0), (1, 5), and (6, 30) represent the initial state, the unit rate of 5 gallons per minute, and the cumulative gallons added, respectively.
b. The equation y = 5x represents the relationship, with the constant of proportionality being 5 (gallons per minute).
a. In the context of the graph showing the relationship between time (x in minutes) and the number of gallons of water (y), we can interpret the given coordinates as follows:
(0, 0): This point (0, 0) means that when there is no time (x = 0 minutes), no water has been pumped into the pool (y = 0 gallons). It represents the starting point before any water pumping began.
(1, 5): At (1, 5), it indicates that after 1 minute of pumping (x = 1 minute), 5 gallons of water (y = 5 gallons) have been added to the pool. This suggests that the unit rate of water pumping is 5 gallons per minute. We can determine the unit rate by examining how much the number of gallons (y) changes for each unit increase in time (x).
(6, 30): At (6, 30), it shows that after 6 minutes of pumping (x = 6 minutes), a total of 30 gallons of water (y = 30 gallons) have been pumped into the pool. The unit rate here is still 5 gallons per minute, as for every minute, 5 gallons are added.
b. To write an equation representing this relationship, we can express it as a linear equation in the form y = mx, where m represents the constant rate of change (the unit rate) which is 5 gallons per minute. So, the equation is:
y = 5x
In this equation, the constant of proportionality (m) is 5, as it represents the rate at which gallons of water are added per minute. This equation can be used to find the number of gallons of water (y) in the pool at any time (x) in minutes, given that the unit rate of pumping is 5 gallons per minute.
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Answer:
The coordinate (0,0) means that in 0 minutes 0 gallons are pumped. (1,5) means that in one minute 5 gallons are pumped. (6,30) means that in 6 minutes 30 gallons are pumped. The unit rate is 5 because for each minute 5 gallons are pumped. The equation is y=5x. The constant of proportionality is 5.
Step-by-step explanation:
Answer:
A) m < -175/k and B) 3c/5 - 11
Step-by-step explanation:
A) Add 90 to both sides. -mk > 175.
Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!
m < -175/k.
B) Subtract 3c from both sides.
-5f = 55 - 3c.
Now multiply both sides by -1/5.
f = 3c/5 - 11
The probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A ) = 1/12
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A )
Now , the number of people = 4
So , the probability of each person to reach the school first = ( 1/4 )
And , the probability that the second person to reach second = ( 1/3 )
So , probability that Jonathan will arrive first and Michael will arrive second in their bikes to school is P ( A ) = ( 1/4 ) ( 1/3 )
P ( A ) = 1/12
Hence , the probability is P ( A ) = 1/12
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Answer:
1/12
Step-by-step explanation:
Jonathan has 1/4 chance and so if Jonathan is already there, there are only 3 people left. 1/4*1/3 is 1/12.
Answer: 0.06 liters
Step-by-step explanation:
Given: Amount of liquid given to Brianna by her teacher = 0.15 liters
Since Brianna need to used 0.4 of this liquid for the experiment.
Thus, amount of liquid used by Brianna= 0.4 of 0.15 liters
⇒ Amount of liquid used by Brianna
⇒ Amount of liquid used by Brianna
⇒ Amount of liquid used by Brianna