Given:
[tex]C(a)=3.00a+4.00[/tex]
where a is the number of videos watched and C(a) is the cost of watching videos on a website.
The cost is increased by $15.00 if the downloading feature is enabled.
Required:
We need to find the function H (a) for the cost of watching downloading videos.
Explanation:
Consider the given function.
[tex]C(a)=3.00a+4.00[/tex]
Add 15 to both sides to find H(a) because the cost is increased by $15.00.
[tex]C(a)+15=3.00a+4.00+15[/tex][tex]C(a)+15=3.00a+19.00[/tex]
Let H(a)=C(a)+15 and substitute in the equation.
[tex]H(a)=3.00a+19.00[/tex]
C(a) is shifted 15 units up to get H(a) since the whole function is added to 15.
Final answer:
[tex]H(a)=3.00a+19.00[/tex]
Shift 15 units up