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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign
up 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 Stella
does because Stella only has enough supplies to make 40 pies. Let I represent the number of cars
Jamie 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 earnings
and Stella's earnings.
Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer
and show any work that might support your answer.

Respuesta :

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.