Please explain your answer.
1 answer:
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The answers to the various part as well as its reasons are given below
<h3 /><h3>Part A:</h3>- The x-intercepts shows a zero profit.
- The maximum value of the graph tells or depict the maximum profit.
- The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.
- This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.
- The profits are negative as seen on the left of the first zero and on the right of the second zero.
An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from 3 to 5.
<h3>Part C:</h3>Based on the above, the domain is one that is held back or constrained by x = 0 .
We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.
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Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses. </em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5 </em>
<em>k=21 </em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".