I'll give brainliest to whoever answers first and is correct!!

3. Beatrice is doing so well with her babysitting business that she decides to start a babysitting service over the summer with her friends. Beatrice and her friends charge $8/h, with a mandatory $5/day fee for each child for snacks.

(a) Write an equation to show the cost of using Beatrice’s babysitting service each day, where x is the number of hours and y is the total cost.

(b) A mother pays Beatrice $61 after picking up her daughter from babysitting. How many hours did Beatrice babysit the daughter? Show your work.

(c) Beatrice is thinking of charging a different rate for infants. She writes the expression to represent how much she wants to charge for infants. Explain what the expression means in a real-world context. Answer:

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

[tex]y=8x+5[/tex]

Therefore, the equation [tex]y=8x+5[/tex] represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

[tex]61=8x+5[/tex]

Let us subtract 5 from both sides of our equation.

[tex]61-5=8x+5-5[/tex]

[tex]56=8x[/tex]

Let us divide both sides of our equation by 8.

[tex]\frac{56}{8}=\frac{8x}{8}[/tex]

[tex]7=x[/tex]

Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.