cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store. which…

cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store. which equation can be used to determine the approximate shoe size, s, for a foot length of x inches? sandal size foot length (in.) (x) shoe size (s) 8 6 8.5 7 9 8 9.5 9 10 10 s = x - 2 s = 2x - 10 s = x + 6 s = 2x + 4

cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store. which equation can be used to determine the approximate shoe size, s, for a foot length of x inches? sandal size foot length (in.) (x) shoe size (s) 8 6 8.5 7 9 8 9.5 9 10 10 s = x - 2 s = 2x - 10 s = x + 6 s = 2x + 4

Answer

Explanation:

Step1: Test the first pair

For $x = 8$ and $S=6$, substitute into each equation.

  • For $S=x - 2$, when $x = 8$, $S=8 - 2=6$.
  • For $S = 2x-10$, when $x = 8$, $S=2\times8 - 10=16 - 10 = 6$.
  • For $S=x + 6$, when $x = 8$, $S=8 + 6=14\neq6$.
  • For $S=2x + 4$, when $x = 8$, $S=2\times8+4=16 + 4=20\neq6$.

Step2: Test the second pair

For $x = 8.5$ and $S = 7$, substitute into the remaining two - possible equations.

  • For $S=x - 2$, when $x = 8.5$, $S=8.5 - 2=6.5\neq7$.
  • For $S = 2x-10$, when $x = 8.5$, $S=2\times8.5-10=17 - 10=7$.

Step3: Test the third pair

For $x = 9$ and $S = 8$, substitute into $S = 2x-10$. When $x = 9$, $S=2\times9-10=18 - 10 = 8$.

Step4: Test the fourth pair

For $x = 9.5$ and $S = 9$, substitute into $S = 2x-10$. When $x = 9.5$, $S=2\times9.5-10=19 - 10=9$.

Step5: Test the fifth pair

For $x = 10$ and $S = 10$, substitute into $S = 2x-10$. When $x = 10$, $S=2\times10-10=20 - 10 = 10$.

Answer:

$S = 2x-10$