F = –2s + 18 The variable s represents the number of shirts Vera has sewn, and the variable f represents the number of yards of fabric remaining. How many shirts can Vera sew, at most, and still have 10 yards of fabric left?

Respuesta :

Answer:

4 shirts.

Step-by-step explanation:

We have been given an equation [tex]F =-2s + 18[/tex], where the variable s represents the number of shirts Vera has sewn, and the variable f represents the number of yards of fabric remaining.

To find the number of shirts that Vera can sew and still have 10 yards of fabric left, we will substitute [tex]F = 10[/tex] and solve for s as:

[tex]10 =-2s + 18[/tex]

Switch sides:

[tex]-2s+18=10[/tex]

[tex]-2s+18-18=10-18[/tex]

[tex]-2s=-8[/tex]

[tex]\frac{-2s}{-2}=\frac{-8}{-2}[/tex]

[tex]s=4[/tex]

Therefore, Vera can sew 4 shirts at most and still have 10 yards of fabric left.