MATH SOLVE

3 months ago

Q:
# Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to signup for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each.Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stelladoes because Stella only has enough supplies to make 40 pies. Let I represent the number of carsJamie washes. Let y represent the number of pies Stella makes.Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.Part 3: Write a constraint (an inequality) to represent the relationship between Jamie's earningsand Stella's earnings.Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answerand show any work that might support your answer.

Accepted Solution

A:

Step-by-step explanation:Let [tex]I[/tex] be the number of cars Jaime washes.Given that Jamie earns his money by washing cars for $[tex]25[/tex] each.Total income for [tex]I[/tex] cars is [$tex]25I[/tex]Let [tex]y[/tex] represent the number of pies Stella makes.Given that Stella earns her money by making pecan pies for $[tex]15[/tex] each.Total income for [tex]y[/tex] pies is $[tex]15y[/tex]Jamie needs atleast $[tex]600[/tex] for his trip.So,[tex]25I\geq600[/tex][tex]I\geq 24[/tex]Stella needs atleast $[tex]600[/tex] for his trip.So,[tex]15y\geq600[/tex][tex]y\geq 40[/tex]Given that Jamie earns more money than Stella.So,[tex]25I\geq 15y[/tex][tex]5I\geq 3y[/tex]If Stella makes [tex]40[/tex] pies,she makes [tex]15\times 40=600[/tex] which is just required.So,Stella can signup only if she sells [tex]40[/tex] pies.