The point (2, 5) is represented on the graph. Which point also belongs on this graph?
2 answers:
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Answer:
Part 1) 0.50 inches
Part 2) 1.14 inches
Part 3)
a) 1.25 inches
b) -0.32 inches
Step-by-step explanation:
The complete question in the attached figure
Part 1) Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall for the last June
Let
x ----> the average rainfall for the last June
y ----> the actual rainfall for the last June
The difference between the average rainfall and the actual rainfall for the last June is given by the expression
we have
substitute
Part 2) The departure from the average rainfall last July was -0.36 inches. How much rain fell last July?
we know that
The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month
Let
D -----> the departure from the average
x ----> the average rainfall for the last June
y ----> the actual rainfall for the last June
so
we have
substitute the given values
solve for y
Part 3)
<u>Part a)</u> How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?
<u>Part b</u>) What would the departure from the average be in August in that
situation?
Part a) How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?
Find the average rainfall for these three months
Adds the average rainfall and divide by 3
Part b) What would the departure from the average be in August in that
situation?
we know that
The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month
Let
D -----> the departure from the average
x ----> the average rainfall for the last June
y ----> the actual rainfall for the last June
so
we have
substitute the given values
The missing figure is attached down
Answer:
Container A is filling more quickly
Step-by-step explanation:
<em>Let us explain the linear relation</em>
The linear equation is y = m x + b, where
- m is the slope of the line which represents the rate of change (change in y/change in x)
- b is the y-intercept which means the initial amount of y (at x = 0)
<em>If a line represents the amount of water over time, then it represents the rate of filling of the water</em>
∵ There are two containers A and B that have the same size
∵ The two lines represent the amount of water over time in
containers A and B
∴ The slopes of the lines represent the rat of water in the tanks
→ That means the greater slope represents the greater rate
∵ The greater the slope, the steeper the line
∴ The container that represented by the steeper the line is filling quickly
→ The line represents container A is steeper more than the line
represents container B
∴ Container A is filling more quickly
