Question

My grandfather has a golf ball collection of 1,200 golf balls. Each Saturday he goes to various shops and yardsales to add 5 new golf balls to his collection. Write the explicit function for this problem. Use x as your variable.

Answer 1

$y=5x+1200$

Y is the total number of balls depending on the number of Saturdays

x is the number of Saturdays and is multiplied by 5 since for each Saturday it acquires 5 balls

1200 is the current collection that he has since the balls he acquires will be added to this value

we replace x by the number of Saturdays in a year, that is, 52

$\begin{gathered} y=5(52)+1200 \\ y=260+1200 \\ y=1460 \end{gathered}$

in a year will have 1460 balls

the domain represents the values ​​that x can take

x can take values ​​from 0 to infinity, but only integer numbers ,It cannot take negative values ​​because it is impossible to have for example -2 Saturdays

so the domain is

[0,inf]

the set notation is

$\mleft\lbrace x|x\ge0\mright\rbrace$