The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $25 for each room. (a) Write an equation to represent the cost. Show your work!

(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation. Show your work!

(c) Suppose the hotel plans to tip the carpet cleaners $25. In that case, how many rooms can the hotel get cleaned for $200? Write and solve an equation. Show your work!

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Which best describes the construction of a triangle if given the segment lengths of 2 cm, 3 cm, and 5 cm? a) unique triangle b) cannot be determined c) triangle not possible d) more than one triangle

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.