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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.

(a)

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

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:

Therefore, the equation 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.

Let us subtract 5 from both sides of our equation.

Let us divide both sides of our equation by 8.

Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

d

step-by-step explanation: