Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

part #4: determine how many guests it will take for the two venues to b…

Question

part #4: determine how many guests it will take for the two venues to be at an equal cost?
acc banquet hall
$37 per guest plus $3360 for room
silver gardens event center
$45 per guest and $2400 for room
x = number of guests and y = total cost
answer =
part #5: describe in detail the line of best fit and its meaning
explain (details!!!)
explain (details!!!)

Explanation:

Step1: Set up equations

For ACC Banquet Hall: \(y = 37x+3360\). For Silver Gardens Event Center: \(y = 45x + 2400\).

Step2: Set the equations equal

Set \(37x+3360=45x + 2400\).

Step3: Solve for \(x\)

Subtract \(37x\) from both sides: \(3360=8x + 2400\).
Subtract \(2400\) from both sides: \(960 = 8x\).
Divide both sides by \(8\): \(x=\frac{960}{8}=120\).

Answer:

\(120\)