Question

a sandwich shop has a "build your own" sandwich on its menu. for this option, a roll costs $0.75 and turkey costs $1.75 a pound. which inequality shows how much turkey can be ordered on a roll for a sandwich to cost up to $6.00?

Answer 1

For this case, the first thing we must do is define a variable.

We have then:

x: number of pounds of turkey

We write now the inequality that models the problem.

We know that:

1) a roll costs $ 0.75 and turkey costs $ 1.75 a pound

2) The sandwich costs up to $ 6.00

Therefore, the inequality is given by:

`1.75x + 0.75 \leq 6`

Clearing the value of x we have:

`1.75x \leq 6-0.75`

`1.75x \leq 5.25`

`x \leq (5.25)/(1.75)`

`x \leq 3`

Answer:

An inequality that shows how much turkey can be ordered on a roll for a sandwich to cost up to $ 6.00 is:

`x \leq 3`