Question

A customer at the mall is shopping for holiday gifts, and is considering having them wrapped He can get them wrapped at the department store, which charges $5 per gift Alternatively, the customer can pay his niece a flat fee of $50 to wrap all of his gifts. If he has a certain number of small packages, it would cost the same amount either way What would be the total cost to have all the gifts wrapped? Write a system of equations, graph them, and type the solution. ____ dollars

Answer 1

x is the number of gifts to be wrapped

the cost at the department store is $5 per gift

cost at the department store = 5x

the customer can pay his niece a flat fee of $50

cost of the niece: 50

cost of the niece= cost at department store

5x=50

x=50/5

x=10

y= cost

x=is the number of gifts to be wrapped

the system of equation is

y=5x ---- equation of the department store

y=50 --- equation of the niece

the graph will be

as we can see the two lines intercept when the number of gifts is equal to 10