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?
A. S = x – 2
B. S = 2x – 10
C. S = x + 6
D. S = 2x + 4
Answers
Answer:
Step-by-step explanation:
submitting the respective values in the equations, Option B is the right answer
Option B
The equation can be used to determine the approximate shoe size, S, for a foot length of x inches is s = 2x - 10
Solution:
Use the given options and find the equation
From given table,
Option A
s = x - 2
When, x = 8 , s = 6
6 = 8 - 2
6 = 6
Use the second value from table
x = 8.5 and s = 7
s = x - 2
7 = 8.5 - 2
7 not equal to 6.5
Thus option A is wrong
Option B
s = 2x - 10
When, x = 8 , s = 6
6 = 2(8) - 10
6 = 16 - 10
6 = 6
Use the second value from table
x = 8.5 and s = 7
s = 2x - 10
7 = 2(8.5) - 10
7 = 17 - 10
7 = 7
Use the third value from table
x = 9 and s = 8
s = 2x - 10
8 = 2(9) - 10
8 = 18 - 10
8 = 8
Use the fourth value from table
x = 9.5 and s = 9
s = 2x - 10
9 = 2(9.5) - 10
9 = 19 - 10
9 = 9
Use the fifth value from table,
x = 10 and s = 10
s = 2x - 10
10 = 2(10) - 10
10 = 20 - 10
10 = 10
Thus option B satisfies all values
Thus the equation can be used to determine the approximate shoe size, S, for a foot length of x inches is s = 2x - 10
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