Step-by-step explanation:
Consider the provided information.
Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.
Let x is the number of child, Sandy charges fixed fee of $10 and $5 for each child. Thus, the charges for one night is:
Kimmi charges $25 per night no matter how many children a family has. Thus, the charges for one night is:
Now we need to write an equation that would compare the two girls charges:
Thus, the required equation is.
Now we need to find how many children a family have in order to be the same charges.
For the same charges solve the equation as shown:
So, the number of children has to be 3 for same charge.
A 3x - 1 = 3x + 1
® 2x - 1 = 1 - 2x
© 3x - 2 =2x-3
D 3(x - 1) = 3x - 3
Answer:
D
Step-by-step explanation:
In order to have infinitely many solutions, the lines must be the same.
If we solve D by using the distributive property, we end up withe 3x-3=3x-3.
3x-3 and 3x-3 are the same lines and intersect infinitely many times, therefore the correct answer is D.