Question

Answe and work to both!!!!!

Answer 1

1. The fixed costs is $40 and the cost per mile is
`\$(3)/(2)`.

2.Therefore, the coffees did they sell is, 85 coffees

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:

`x+y=C` 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:

`x+50y=\$115` .....(1)

`x+80y=\$157` ....(2)

Now, solving these equation simultaneously we get,

`y=(3)/(2)`

Substitute the value of y in equation (1),

`x+50*(3)/(2)=\$115`

`x+75=\$ 115`

⇒
`x=\$40`

Therefore, the fixed costs is $40 and the cost per mile is
`\$(3)/(2)`.

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:

`x+y=295`

`0.75x+0.50y=200`

Solving these equation simultaneously we get the value of y=85

Therefore, the coffees did they sell is, 85 coffees