<u>Answer-</u>
<em>Quadratic Regression</em><em> model best fits the data set.</em>
<u>Solution-</u>
Taking x as input variable and y as output variable, regression models were obtained by using Excel.
As we can be seen that, the values of y is neither consistently increasing or decreasing ( as 13 > 8 > 7.5 < 9 < 12 ), so exponential growth and exponential decay are of no use (because in exponential function the growth or decay rate is constant).
And also, it can not be linear, as the rate of change of y is not constant.
As we can obtain the correct regression model, by considering Co-efficient of Determination (R²). The value of R² ranges from 0 to 1. The more closer its value to 1, the better the regression model is.
From the attachment, it can be observed that,
As the value of R² of the Quadratic Regression is more closer to 1, so that should be followed.
Answer: m = 0
Step-by-step explanation: To solve this problem, we don't even have to use our slope formula. It's important to understand that when we have the same <em>y</em> coordinate in our first ordered pair and our second ordered pair, this means that the line will be flat or horizontal.
When a line is horizontal, it means the line has a slope of zero.
We use the variable <em>m</em> to represent slope.
So here, we can say that <em>m = 0</em>.
Answer:
x= -40
Step-by-step explanation:
Cost
C(x)=1,600+20x
P(x)=100-x
Revenue=x*p(x)
=x*(100-x)
=100x-x^2
Cost=Revenue
1600+20x=100x-x^2
1600+20x-100x+x^2=0
1600-80x+x^2=0
Solve using quadratic formula
Formula where
a = 1, b = 80, and c = 1600
x=−b±√b2−4ac/2a
x=−80±√80^2−4(1)(1600) / 2(1)
x=−80±√6400−6400 / 2
x=−80±√0 / 2
The discriminant b^2−4ac=0
so, there is one real root.
x= −80/2
x= -40
Answer:
60 hot dogs and 180 soda
Step-by-step explanation:
Soda was sold 3 times the number of hot dogs, and there were 240 in total.
So the equation would be:
3x + x = 240
3x being the number of soda and x being the number of hot dogs which like i sad earlier adds up to 240.
3x + x = 240
4x = 240
x= 60
60 being the amount of hot dogs and 3 time of soda would be 180 and adding them both up would be 240
Answer:
Decrease by 13%
Step-by-step explanation:
