Question

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

A 2-column table with 5 rows. The first column is labeled foot length (inches) (x) with entries 8, 8.5, 9, 9.5, 10. The second column is labeled shoe size (S) with entries 6, 7, 8, 9, 10.

Which equation can be used to determine the approximate shoe size, S, for a foot length of x inches?

S = x – 2
S = 2x – 10
S = x + 6
S = 2x + 4

Answer 1

Compute the slope: as x increases by 0.5, S increases by 1, so slope = 1/0.5 = 2. Using (8,6): 6 = 2(8) + b → b = -10. Thus S = 2x − 10.