Answer:
p(x) = 38500 - 1500x.
Step-by-step explanation:
The average attendance was 25000 when the ticket price at $9. The average attendance rose to 28000 when the price lowered to $7.
Therefore, if the demand function p(x) where, x is the value of each tickets is linear then we have p(9) = 25000 and p(7) = 28000.
Hence, the demand function will be given as
⇒ p(x) - 28000 = 1500(7 - x)
⇒ p(x) = 28000 + 10500 - 1500x
⇒ p(x) = 38500 - 1500x. (Answer)
The new pool is 18.84 feet larger in circumference than the old one.
<u>Explanation:</u>
Given:
Circumference of the pool = 47.1 feet
Diameter of the new pool, d = 21 feet
radius, r = 21/2 feet
Circumference of the new pool = ?
We know:
Circumference = 2πr
where,
r is the radius
On substituting the value:
C =
C = 65.94 feet
The difference in circumference of the two pools = 65.94 - 47.1 feet
= 18.84 feet
Therefore, the new pool is 18.84 feet larger in circumference than the old one.
The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:
2) The Slope of the line is given by:
3) The y-intercept is found by the formula:
For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.