Jacob and sarah are saving money to go on a trip. they need at least $1975 in order to go. jacob mows lawns and sarah walks dogs to raise money. jacob charges $25 each time he mows a lawn and sarah charges $15 each time she walks a dog. the number of dog walks that sarah has scheduled is no more than four times the number of lawns jacob has scheduled to mow. sarah will walk at least 50 dogs. write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. be sure to include: (1) an inequality to represent the amount that jacob and sarah must earn to pay for the trip, (2) the constraint that compares the number of dogs to the number of lawns, (3) the constraint to represent the least number of dogs sarah could walk.

Question

Mathematics

Marcellus

29 July, 17:20

Jacob and sarah are saving money to go on a trip. they need at least $1975 in order to go. jacob mows lawns and sarah walks dogs to raise money. jacob charges $25 each time he mows a lawn and sarah charges $15 each time she walks a dog. the number of dog walks that sarah has scheduled is no more than four times the number of lawns jacob has scheduled to mow. sarah will walk at least 50 dogs. write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. be sure to include: (1) an inequality to represent the amount that jacob and sarah must earn to pay for the trip, (2) the constraint that compares the number of dogs to the number of lawns, (3) the constraint to represent the least number of dogs sarah could walk.

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Kaia Oneill · Answer 1

They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.

25x + 15y ≥ 1975

The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.

y ≤ 4x

Sarah will walk at least 50 dogs.

y ≥ 50