sNiTcHoOf
contestada

Victoria needs to order some new supplies for the restaurant where she works. The restaurant needs at least 673 glasses. There are currently 368 glasses. If each set on sale contains 10 glasses, write and solve an inequality which can be used to determine x, the number of sets of glasses Victoria could buy for the restaurant to have enough glasses.

Victoria needs to order some new supplies for the restaurant where she works The restaurant needs at least 673 glasses There are currently 368 glasses If each s class=

Respuesta :

Using a linear function, we have that:

  • The inequality is: [tex]368 + 10x \geq 673[/tex].
  • The solution is: [tex]x \geq 31[/tex].

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Since there are currently 368 glasses(y-intercept), and each set on sale comes with 10 glasses(slope), the number of glasses after x sales is given by:

y = 368 + 10x.

She needs at least 673 glasses, hence the inequality is:

[tex]y \geq 673[/tex]

[tex]368 + 10x \geq 673[/tex].

Now we solve the inequality to find the number of sets needed:

[tex]10x \geq 305[/tex]

[tex]x \geq 30.5[/tex]

As the number of sets is an integer number, the solution is:

[tex]x \geq 31[/tex].

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Otras preguntas