25.2k views
1 vote
Write a piecewise function to represent the following scenario(Only 2 hours to answer!)

Write a piecewise function to represent the following scenario(Only 2 hours to answer-example-1

1 Answer

2 votes

Answer D

f(x)=3x if 0 <= x <= 10

f(x)=15x-120 if x > 10

Explanation:

Hello,

The first 10GB of data he uses costs $3 per GB

so we can write

if 0<=x<=10 f(x)=3x

and f(10)=3*10=30

and once he exceeds the 10Gb the company charges $15 for each GB

so if x >10 f(x)=15x+b where b is a real

And f(10) should be 30 so 15*10+b=30 <=> b = 30-150=-120

so f(x) = 15x-120

hope this helps

User Goralph
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.