Ewan and Karlos play an online game that has a cost per minute as well as an initial set-up fee. So far, Ewan has
played for 510 minutes and was charged a total of $17.80, Karlos has logged an impressive 682 minutes of
playing time and has spent $22.96.

Respuesta :

Answer:

Set-up fee =$2.50

Minute rate=$0.03

Step-by-step explanation:

let x be the set-up fee and y the rate per minute.

-The individuals costs can be expressed as:

[tex]\#Ewan\\x+510y=17.80\ \ \ \ \ \ ...i\\\\\#Karlos\\x+682y=22.96\ \ \ \ \ \ ...ii[/tex]

We make  subtract Ewan's equation for Karlos:

[tex]172y=5.16\\\\y=0.03[/tex]

The rate per minute played is $0.03

=>We substitute the minute rate in Ewan's equation to solve for x:

[tex]y=0.03\\\\x+510y=17.80\\x+\\510\times 0.03=17.80\\x=17.80-510\times 0.03=2.5[/tex]

Hence, the set-up fee is $2.5