Answer:
<em>The base fee is 5</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear function is widely used to model real situations in life where the dependancy of one variable are linear by nature.
The problem gives us three conditions, more than enough to find a linear model for the earnings for running errands. Let's make x the number of hours it takes to run the errands, and y the earnings. The linear model has the general equation

We have these points (1,20) (2,35) (3,50) and need to find the base fee, which is the value of b or the independant term of the equation.
We'll use the first two points to find the equation and the third point to verify it. Using (1,20)


Now we use (2,35)


Subtracting both equations

Replacing into the first equation

The equation is

Let's test the formula by replacing the point x=3

The model is accurate and the base fee is 5
Question 1)
I assume it asks about the circumference (of only the circle arc)
C=r*2*pi
r=2
-> C=4pi
1 Quarter only of the circle: C/4=pi=3.1
if it's the perimeter of the shape then you need to add the two 2in sides
C=3.1+2*2=7.1
2)
C=r*2*pi, but not a full circle, only semi-> divide by 2-> C=r*pi
r=30
C=30pi=94.2
3)
the radius of the semicircle is 6/2=3mm
semicircle C=r*pi=3pi
add the rectangle perimeter
3pi+2*3+6=12+3pi=21.4
4)
C=2r*pi
insert 2r=d=12
C=12pi=37.7
5)
C=2r*pi
r=10
C=20*pi~62.8
3 rotations of the wheel->
distance=C*3=188.4
Answer:
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Step-by-step explanation: