Answer:
96 m²
Step-by-step explanation:
The area of a parallelogram is the height of the parallelogram multiplied by it's length. So, in this context:
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1 answer:
Answer:
y = -3x + 7
Step-by-step explanation:
Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = .
We would get the same rate of change if we use any other two pairs of values in the data given.
Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.
To represent y as a function of x, find b, since we know the rate of change (m).
Substitute x = -3, y = 16 and m = -3 in y = mx + b.
Thus:
16 = (-3)(-3) + b
16 = 9 + b
Subtract 9 from each side
16 - 9 = b
7 = b
b = 7
Substitute m = -3 and b = 7 in y = mx + b
The function would be:
✅ y = -3x + 7
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Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model
we have
substitute