MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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:
[tex] 1.75x + 0.75 \leq 6 [/tex]
Clearing the value of x we have:
[tex] 1.75x \leq 6-0.75 [/tex]
[tex] 1.75x \leq 5.25 [/tex]
[tex] x \leq \frac{5.25}{1.75} [/tex]
[tex] x \leq 3 [/tex]
Answer:
An inequality that shows how much turkey can be ordered on a roll for a sandwich to cost up to $ 6.00 is:
[tex] x \leq 3 [/tex]