Answer:
<em>The correct option will be: C. 3</em>
Step-by-step explanation:
The given table is..........
-6 -3 -1 0 1 4
27 6 2 3 6 27
<u>The formula for average rate of change</u> is: , where
is the given interval.
Here the interval is [-3, 4]. So, and
Now, plugging the values of and
into the above formula, we will get........
<u>From the given table,</u> we will get and
So, the average rate of change will be:
The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The graph of the table of values</h3>To graph of the table of values, we plot
See attachment for graph
<h3>Type of correlation</h3>The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The equation of the line of best fit</h3>To do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
The line of best fit equation is
y = bx + a
Where
b = SP/SSX = -857.75/862.94 = -0.99
a = MY - bMX = 24.25 - (-0.99*28.94) = 53.0
So, we have:
y = -0.99x + 53
Hence, the equation of the line of best fit is y = -0.99x + 53
<h3>The weight for 30 MPG</h3>This means that y = 30
So, we have:
-0.99x + 53 = 30
Subtract 53 from both sides
-0.99x = -23
Divide by -0.99
x =23
Hence, the predicted weight is 23 pounds
<h3>The city MPG for 1500 pounds</h3>This means that x = 1500
So, we have:
y = -0.99 * 1500 + 53
Evaluate
y = -1432
Hence, the city MPG for 1500 pounds is -1432
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