(a) f(x)=20x \ \
Here "x" represent the number of subscriptions sold which are natural numbers.
Hence as per the question ,domain of f(x) is x∈N
(b) Five ordered pairs for x<10
1.x=1;f(x)=20x=20×1=20⟹(x,f(x))=(1,20)
2.x=2;f(x)=20x=20×2=40⟹(x,f(x))=(2,40)
3.x=3;f(x)=20x=20×3=60⟹(x,f(x))=(3,60)
4.x=4;f(x)=20x=20×4=80⟹(x,f(x))=(4,80)
5.x=5;f(x)=20x=20×5=100⟹(x,f(x))=(5,100)
(c) Initial model=f(x)=20x
It is a straight line passing through origin with slope +20.
When boss starts paying $40 extra,
the new model will be
f(x)=20x+40
The new graph will also be a straight line with slope 20 but it does not passes through origin.
It has a y−axis intercept of +20 which means he will get $40 even if he does not sell any subscriptions in a day.
(d) New model will be f(x)=30x
It is a straight line passing through origin with slope +30 bisecting the first and third quadrant.
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