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