#24. you and your friends go to the county fair the cost to get in is $8 and the tickets per game to my cost $0.25 each. Write an equation to create a table of reasonable values and identify the domain and range for the scenario.

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)

equationof thescenariois y = 8 + 0.25x and thedomainis x ≥ 0 and therangeis y ≥ 8## How to determine the equation?

total costbe y, and thenumber of peoplebe x.equationwould be:equationof thescenariois y = 8 + 0.25x## The table of values

functionvaluestableofvaluesis:## The domain and the range

domainis the set of people that can get in (i.e. at least 0), while therangeis the total amount (i.e. at least the entrance fee)domainis x ≥ 0 and therangeis y ≥ 8linear functionsat: