Question

Melissa rents out her barn for weddings and special events. She charges $550 for the space plus $10 per hour for utilities. The equation that represents this situation is y=10+550

Complete the following statements.

The variable,x, in this context is defined as [Drop Down 1]. The parameter is the coefficient of x, which is [Drop Down 2], and is [Drop Down 3]. The constant [Drop Down 4] is [Drop Down 5]. The variable that is the output in this context is [Drop Down 6] and represents [Drop Down 7].

drop down 1:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours

drop down 2:
y
10
550

drop down 3:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours

drop down 4:
y
10
550

drop down 5:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours

drop down 6:
y
10
550

drop down 7:
the hourly rate
the base fee to rent
the number of hours the barn is rented
the total amount charged to rent the barn for a certain number of hours

Answer 1

Answers:

1. Choice C) the number of hours the barn is rented
2. Choice B) 10
3. Choice A) the hourly rate
4. Choice C) 550
5. Choice B) the base fee to rent
6. Choice A) The variable y
7. Choice D) total amount charged

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Step-by-step explanation:

The equation is y = 10x+550

If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.

On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.

It might be helpful to compare y = mx+b to y = 10x+550

m = 10 = slope = how things change

b = 550 = y intercept = starting point

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Example:

Let's say you rented the barn for 2 hours.

That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550

total = 20+550 = 570

This is what the steps could look like when plugging in x = 2

y = 10x+550

y = 10*2 + 550

y = 20 + 550

y = 570

Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.