The equation of the scenario is y = 8 + 0.25x and the domain is x ≥ 0 and the range is y ≥ 8
How to determine the equation?
The given parameters are:
- Entrance fee = $8
- Rate = $0.25 per person
Let the total cost be y, and the number of people be x.
The equation would be:
y = Entrance + Rate * x
This gives
y = 8 + 0.25x
Hence, the equation of the scenario is y = 8 + 0.25x
The table of values
Set x = 0 to 5, and calculate the function values
y = 8 + 0.25 * 0 = 8
y = 8 + 0.25 * 1 = 8.25
y = 8 + 0.25 * 2 = 8.50
y = 8 + 0.25 * 3 = 8.75
y = 8 + 0.25 * 4 = 9.00
y = 8 + 0.25 * 5 = 9.25
So, the table of values is:
x y
0 8
1 8.25
2 8.50
3 8.75
4 9.00
5 9.25
The domain and the range
The domain is the set of people that can get in (i.e. at least 0), while the range is the total amount (i.e. at least the entrance fee)
Hence, the domain is x ≥ 0 and the range is y ≥ 8
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