Answer:
1. The fixed costs is $40 and the cost per mile is [tex]\$\frac{3}{2}[/tex].
2.Therefore, the coffees did they sell is, 85 coffees
Step-by-step explanation:
1. To find the fixed cost and Cost per mile.
Since, a shipping company charges a fixed amount for their services and a certain amount per mile , they must travel.
Let the number of fixed amount be x and the certain amount per mile be y
then, the general linear equation for this we have:
[tex]x+y=C[/tex] where C is the charges cost by the shipping company.
It is given that for a 50 mile trip company costs $115 and an 80 mile trip costs $157.
we have an equation in linear form from the above data:
[tex]x+50y=\$115[/tex] .....(1)
[tex]x+80y=\$157[/tex] ....(2)
Now, solving these equation simultaneously we get,
[tex]y=\frac{3}{2}[/tex]
Substitute the value of y in equation (1),
[tex]x+50\times\frac{3}{2}=\$115[/tex]
[tex]x+75=\$ 115[/tex]
⇒[tex]x=\$40[/tex]
Therefore, the fixed costs is $40 and the cost per mile is [tex]\$\frac{3}{2}[/tex].
2.
Let the hot chocolate sells be x and that of coffee be y.
At one game they sold, $200 worth of drinks and used 295 cups. if hot chocolate sells for $0.75 and coffee sell for $0.50.
An equation from the given condition are given by:
[tex]x+y=295[/tex]
[tex]0.75x+0.50y=200[/tex]
Solving these equation simultaneously we get the value of y=85
Therefore, the coffees did they sell is, 85 coffees
