Question

Answer the following 3 question(s) using the information from the scenario below.

Answer 1

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of 'n' guests = 75 $\times n$

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

$\Rightarrow 1000 + 75 \times n$

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of 'n' guests = 50 $\times n$

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

$\Rightarrow 1500 + 50 \times n$

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

$75 \times 20 + 1000\\\Rightarrow \ 2500$

Riverside Hall cost

$50 \times 20 + 1500\\\Rightarrow \ 2500$

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.