Triangle A and Triangle B have the same base. The height of Triangle B ice the height of Triangle A. How many times greater in t
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
For this case we can use a linear model to solve the problem.
s) Create an equation to express the increase on the price tickets and the number of seats sold
number of seats, if w analyze the info given the number of seats after increase the price is given by
.
And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.
We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:
So then our linear equation is given by:
b) Over a certain period, the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?
So for this case we just need to replace the limits into the linear equation and see what we got:
So the corresponding range of ticket prices is:
Answer:
- quadratic function
- y-intercept: y = -6
- x-intercepts: x = 2 and x = 6
- y = 2, x = 4
- y ≥ 0
Step-by-step explanation:
The given graph is a <u>parabola</u> and so it a quadratic function.
The y-intercept is the point at which the curve <u>crosses the y-axis</u>.
From inspection of the graph, this is when y = -6.
The x-intercepts are the points at which the curve <u>crosses the x-axis</u>.
From inspection of the graph, the x-intercepts are x = 2 and x = 6.
The vertex is the <u>turning point</u> of the graph, so the <u>minimum point</u> of a parabola that opens <u>upwards</u>, and the <u>maximum</u> point of a parabola that opens <u>downwards</u>.
From inspection of the graph, the vertex is at (4, 2), so the greatest value of y is y = 2, and it occurs when x = 4.
The curve is <u>above the x-axis</u> between the interval x = 2 and x = 6.
Therefore, the function value is equal to zero or <u>positive</u> in this interval.
So the function value in the given interval is y ≥ 0.
