Question

your cell phone company charges $30.00 a month plus $0.05 per text message. a) select the value that corresponds to the independent variable, x. the number of texts you send in the month the flat monthly fee your total cell phone bill b) select the value that corresponds to the dependent variable, y. the number of texts you send in the month the flat monthly fee your total cell phone bill c) find three points that lie on the line of this equation.

Explanation:

Step1: Define independent variable

The independent variable is the one that can be freely - chosen and affects the other variable. Here, the number of texts sent in a month can be freely chosen. So for part a), the independent variable $x$ is the number of texts you send in the month.

Step2: Define dependent variable

The dependent variable depends on the independent variable. The total cell - phone bill depends on the number of texts sent. So for part b), the dependent variable $y$ is your total cell phone bill.

Step3: Find points on the line

The cost equation is $y = 30+0.05x$.
When $x = 0$:
$y=30 + 0.05\times0=30$. So the point is $(0,30)$.
When $x = 100$:
$y=30+0.05\times100=30 + 5=35$. So the point is $(100,35)$.
When $x = 200$:
$y=30+0.05\times200=30 + 10=40$. So the point is $(200,40)$.

Answer:

a) The number of texts you send in the month
b) Your total cell phone bill
c) $(0,30)$, $(100,35)$, $(200,40)$