The options in the dropdown box for a) are: about 1.83 hours, about 2.05 hours, about 3.54 hours, and 5.51 hours. the options in the dropdown box for b) are: about 1 hour, about 1.73 hours, about 3.02 hours, and about 4.75 hours.
the options in the dropdown box for c) are: about 1.56 hours, about 2.82 hours, about 3.64 hours, and about 5.71 hours.

A: About 2.05 hours

B: about 1 hour

C: about 3.64 hours

B.

Step-by-step explanation:

If you simplify both sides and you have both sides in the form, , if the the number in front of the variable, is the same while the constant number, , is different then you will have no solutions.

If you have same and same , then you have infinitely many solutions.

If you have different then you have one solution.

Let's simplify both sides of A:

Distribute:

Combine like terms on left hand side:

The left hand side and right hand side have the same value no matter the x.  This has infinitely many solutions.

Let's simplify both sides of B:

Distribute:

Combine like terms on either side:

This is going to have no solutions.  If you thought about graphing y=4x+11 and y=4x+3 you would see that they are parallel and never cross.  

You could also try and solve it.

Subtract 4x on both sides:

11 is never 3.

11 isn't 3.

11=3 is not true which means there is no satisfying the equation labeled B.

Let's simplify both sides of C:

Distribute:

Combine like terms on either side:

This is going to have one solution.

We can solve it and see.

Subtract 4x on both sides:

Subtract 15 on both sides:

Divide both sides by 2:

0 is the one number that will make both sides the same for equation C.

Let's simplify both sides of D:

Distribute:

Combine like terms on left hand side:

These are the exact same expression on both sides and therefore will have the same value no matter the value of x you choose to plug in.

There are infinitely many solutions.