Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(5,12)and (2,6)
substitute the values in the formula



therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 2
Answer: True i believe
Step-by-step explanation:
Since x represents tables, and tables require 20 hours, 20x is the number of hours spent on tables. The total hours must not exceed 565, so must be less than or equal to that value. The first selection is appropriate.
Each pair of sneakers cost $33.25
Step-by-step explanation:
Given,
Total spent by Mark = $68.82
Sales tax = $5.32
Coupon used = $3.00
Price without sales tax = Total spent - sales tax
Price without sales tax = 68.82 - 5.32 = $63.50
As Mark used coupon, we will add this amount.
Amount of sneakers = Price without sales tax + Coupon used
Amount of sneakers = 63.50+3.00 = $66.50
As this is price of two sneakers, we will divide it by 2;
Cost of one sneaker = 
Each pair of sneakers cost $33.25
Keywords: subtraction, addition
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