Question

A high definition radio station charges $200 per year in addition to $50 per month for the first 3 months to receive its broadcast. Write a function using function notation to describe the situation.

Answer 1

Let's assume

number of months =x

A high definition radio station charges $200 per year

so, we get point as (0,200)

Assume

f(x) is the total amount of charges in a year

we can see that this is linear relationship

so, we can use formula

$f(x)=mx+b$

in addition to $50 per month for the first 3 months to receive its broadcast

so, m=50

we can plug it

$f(x)=50x+b$

we can use point as (0,200)

$200=50*0+b$

$b=200$

now, we can plug it back

and we get

$f(x)=50x+200$...............Answer