50 POINTS!!!!!!!
2 answers:
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Answer:
<em>The table shows an exponential function</em>
Step-by-step explanation:
<u>Linear vs Exponential Functions</u>
A linear function is written as:
where m and b are constants.
If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.
The slope can be calculated as:
An exponential function is written as:
Where r is the ratio and yo is a constant.
If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.
The ratio can be calculated as:
Calculate the slope for (0,4) and (1,2):
Calculate the slope for (1,2) and (2,1):
Since the slope is not the same, the function is not linear.
Now calculate the ratio for (0,4) and (1,2)
The radical of index 1 is simply equal to its argument:
Now calculate the ratio for (0,4) and (2,1)
Testing other points we'll find the same ratio, thus the table is an exponential function
Answer:
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
Step-by-step explanation:
Let number of box seats =
Let number of lower deck seats =
Let number of upper deck seats =
As per question statement:
...... (1)
Cost for box seat = $10
Cost for box seats = 10
Cost for lower deck seat = $8
Cost for lower deck seats = 8
Cost for lower deck seat = $5
Cost for lower deck seats = 5
As per question statement:
..... (2)
..... (3)
Putting value of in (1) and (2):
....... (4)
8 (4) - (5):
10000
By (3):
Now, by equation (1):
= 5000
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000