Chris wonders whether the planes that fly over his house follow any sort of pattern. For two months, he
1 answer:
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Answer:
Step-by-step explanation:
We can model this function using the equation of a line:
Where a is the slope of the line and b is the y-intercept.
To find the values of a and b, we can use the two points given:
(-9, -3):
(-12, 4):
If we subtract the second equation from the first one, we have:
Then, finding the value of b, we have:
So the equation is:
Answer:
When x = 15, y= 2
When y= 10, x= 3
Step-by-step explanation:
This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.
We are to complete the table using the relationship between x and y.
Given:
y is inversely proportional to x = y ∝ 1/x
∝ = proportional to
y ∝ 1/x
y = k × 1/x
Where k = constant of proportionality
To understand the relationship between y and x, we need to find the value of k.
y = k × 1/x
From the table,
When x = 6, y = 5
5 = k × 1/6
5 = k/6
k = 6×5 = 30
y = 30 × 1/x
y = 30/x
The above relationship would enable us find the missing parts.
When x = 15, y= ?
y = 30/15
y = 2
When y= 10, x= ?
10 = 30/x
10x = 30
x = 30/10
x= 3
