Step-by-step explanation:
the function A, according to the tables
=> the equation : f(x) = 2x +3
the slope = 2
the function B, according to the graph
=> the equation : f(x) = 3x -2
the slope = 3
based on the value of the slope, the function B has a greater rate of change
An easier way to do this is to make the fractions improper fractions.
3 1/6 can be rewritten as 19/6. 1 4/6 can be rewritten as 10/6. (Multiply the denominator by the number at its side, and add it to the numerator).
2 3/6 is 15/6.
Subtract 10/6 from 19/6.
19/6-10/6=9/6.
9/6 is not 15/6, therefore she did not use 2 3/6 yards of fabric.