Kiki wants to rent a bounce house for her daughter's party. the cost, y, to rent a bounce house for a number of hours, x, is shown in the table. the initial set-up fee is included in the cost.

Step-by-step explanation:

First of all, we need to find the equation that models this situation.

Let's find the constant ratio of change using two pair of values from the given table.

The ratio of change is 65.

In other words, the hourly rate is $65, that is, 65 dollars per hour.

Then, we use the point-slope form to find the equation

Where refers to the initial condition.

In other words, the initial setup fee is $55.

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step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b