Really need help with these would appreciate it 1 Midtown De

Really need help with these, would appreciate it!

1. Midtown Delivery Service delivers packages which cost $1.80 per package to deliver. The fixed cost to run the delivery truck is $105 per day. If the company charges $8.80 per package, how many packages must be delivered daily to reach the equilibrium point?

A) 9 packages

B) 15 packages

C) 10 packages

D) 58 packages

2. Determine whether the given ordered set of numbers is a solution of the system of equations.

(6, -2)
x + y = -8
x - y = -4

Yes or no?

3. Determine whether the given ordered set of numbers is a solution of the system of equations.

(-3, 2)
x + y = -1
x - y = -5

Yes or no?

4. Solve the problem.

The bank\'s temperature display shows that it is 34° Celsius. What is the temperature in Fahrenheit?

A) 118.8°

B) 93.2°

C) 1.1°

D) 36.7°

Solution

1. Let x be the number of packages that must be delivered to reach the equilibrium point. Then the delivery cost is: 1.8x+105. And the company\'s charge is: 8.8x. At the equilibrium we have: 1.8x+105 = 8.8x which yields x=15.

Therefore 15 packages must be delivered.

2. (6,-2) is NOT a solution to the system since:

6 + (-2) != 8 and 6- (-2) != -4

3. (-3,2) is a solution to the system since:

(-3) + 2 = -1 and (-3) - 2 = -5

4. If T is the temperature in celsius then 9/5*T + 32 = F, where F is the temperature in Farenheit.

Since given: T= 34, we get : F = (9/5)*34 + 32 = 93.2 degrees Farenheit.