A banana bread recipe that makes 444 loaves calls for 121212 bananas. If you are making 242424 loaves, how many bananas do you n
2 answers:
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Answer:
The percent change in quantity is -0.14%.
Step-by-step explanation:
The formula to compute the change in quantity is:
The income elasticity of demand is 2.80.
Percent change in price is -5% (since the prices decreases)
Compute the percent change in quantity demanded as follows:
Thus, the percent change in quantity is -0.14%.
We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:
Where:
To determine the slope "m" we will use the following formula:
Where:
Are data points. From the table we choose the following points:
Now, we substitute in the equation for the slope:
Solving the operations:
Therefore, the slope is -7. Substituting in the equation of the line we get:
Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:
Solving the product:
Now we subtract 56 from both sides:
Now, we substitute the value of "b" in the equation of the line:
And thus we get the line equation.
Answer:
Step-by-step explanation:
We have been given an equation and we are asked to find the constant of proportionality in the given equation.
If two variables are proportional, there is always a constant ratio between them. This constant is called the constant of proportionality.
Since we know that a directly proportional equation in in form: , where k is constant of proportionality.
Upon comparing our given equation with the directly proportional equation we can see that , therefore, constant of proportionality in our given equation is
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