Students were requested to answer a question at institution and to declare what is most important for them to succeed. One that response stood out from the rest was practice. Successful persons are usually not born successful; they become successful through hard work and determination. If you wish to fulfill your goals, keep this in mind! shown below are one of the answer and question example that you can certainly make use of to practice and boost your understanding and also give you insights that may guide you to keep up your study in school.

## Question:

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?The prepaid phone plan will have a steeper line and lower y-intercept.

The contracted phone plan will have the same steepness and a higher y-intercept.

The prepaid phone plan will have a less steep line and the same y-intercept.

The contracted phone plan will have a steeper line and same y-intercept.

## Answer:

The **prepaid **and the **contracted plans **are illustrations of **linear functions**, where the **prepaid phone plan **has a **steeper line **and **lower y-intercept**.

We have:

__Prepaid__

__Contracted__

For both **plans**, the **cost function (y)** is:

Where:

Number of minutes

Steepness

So, we have:

The **y intercept **(i.e. when x = 0) is

*The steep of the function is 0.20**The y-intercept is 0*

The **y intercept** is:

*The steep of the function is 0.02**The y-intercept is 50*

By comparing the **steepness **and the **y-intercepts,**

*The prepaid plan is steeper (0.20 > 0.02)**The prepaid plan has a smaller y-intercept (0 < 50)*

*Hence, (a) is correct*

See attachment for the **graphs** of both **plans**

Read more about **linear equations **at:

They could potentially hopefully assist the student sort out the question by making use of the questions and answer examples. Then might possibly have some sharing in a group discussion and also study with the classmate in connection with the topic, so another student also procure some enlightenment and still keeps up the school learning.