Katherine makes bracelets at a rate represented by the algebraic equation y = 4x where x is the
number of days, and y is the total number of
bracelets made. Katherine also makes necklaces
at the rate shown in the graph.
Necklaces Made
Days
Based on the information, what is the difference
in the rate of change between the two
functions?
(Write the answer as a fraction in lowest terms.)

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

What number should be added to both sides of the equation to complete this square? x^2-10x=7

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)