Question

Ricardo is considering 2 monthly plans a dog walking service offers. Plan 1 charges $3 per walk plus $10 for grooming at the end of each month.Plan 2 charges $5 per walk and then offers free grooming at the end of each walk. After answering the question, you also need to explain what did you do to solve the problem.

Answer 1

PART A:

Based on the given information, if w is the number of walks the cost of plan1 and plan2 can modeled as follow:

Plan1 cost:

10 + 3w

Plan2 cost:

5w

The equation wich allows one to determine the number of walks w at which the cost for both plans is the same is:

10 + 3w = 5w

PART B:

Solve the equation for partA as follow:

10 + 3w = 5w subtract 3w both sides and simplify

10 = 5w - 3w

10 = 2w divide by 2 both sides

10/2 = w

5 = w

w = 5

Hence, you can conclude that for 5 walks the cost of both plans A and B is the same.