Solve the problem.
-Sam Wright wants to stock up on cans of cat food which are selling for $0.95 per can. Write a greatest integer function that represents the number of cans he can purchase with x dollars.
A) $f ( x ) = 0.95 \llbracket x \rrbracket$
B) $f ( x ) = \llbracket 0.95 x \rrbracket$
C) $f ( x ) = \llbracket \frac { x } { 0.95 } \rrbracket$
D) $f ( x ) = \frac { \llbracket x \rrbracket } { 0.95 }$

Question

Quizplus · Accepted Answer

The greatest integer function that represents the number of cans Sam can purchase with x dollars is $f(x) = \left\lfloor \frac{x}{0.95} \right\rfloor$, because you divide the total amount of money he has by the cost per can to find the maximum number of cans he can buy, and use the floor function to ensure it's an integer.

Solve the Problem f(x)=0.95⟦x⟧f ( x ) = 0.95 \llbracket x \rrbracketf(x)=0.95[[x]]

Solve the Problem $f ( x ) = 0.95 \llbracket x \rrbracket$