From question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.
-7=z/2+1
What you first need to do is to multiply both sides of the equation by 2
-14=z+2
Now you move the variable to the left side and change within it’s own sign
-z-14=2
Into
-z=2+14
Now you then add the numbers
-z=16
The last part you do is change the sign on both sides in this equation
z=-16
Therefore, z=-16 is your answer in number 16.
Given data:
The first point given iis (a, b)=(-6,2).
The second point given is (c,d)=(0, -6).
The expression for the slope is,
m=(d-b)/(c-a)
Substitute the given points in the above expression.
m=(-6-2)/(0-(-6))
=(-8)/(6)
=-4/3
Thus, the slope of the line is -4/3, so (C) option is correct.
You would need more details like the y values or something. Rate of change is slope though if that helps you enough to figure it out