Question

Answe and work to both!!!!!

Answer 1

Answer:

1. The fixed costs is $40 and the cost per mile is $\ \frac{3}{2}$.

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:

$x+y=C$ 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,

$y=\frac{3}{2}$

Substitute the value of y in equation (1),

$x+50\times\frac{3}{2}=\ 115$

$x+75=\ 115$

⇒$x=\ 40$

Therefore, the fixed costs is $40 and the cost per mile is $\ \frac{3}{2}$.

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