Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Get prompt and accurate answers to your questions from our experts who are always ready to help.

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 430 minutes and the cost was $150.00. In July she used 880 minutes and the cost was $285.00.

Jane Has A Prepaid Cell Phone With NextFell She Cant Remember The Exact Costs But Her Plan Has A Monthly Fee And A Charge For Each Minute Of Calling Time In Jun class=

Sagot :

A)

In order to find the function for the cost C, we can use the slope-intercept form of a linear equation:

[tex]C=mx+b[/tex]

Where m is the slope and b is the y-intercept.

To calculate the value of m, we can use the formula below for the slope between two points (x1, y1) and (x2, y2):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Since x is the number of minutes and C is the cost function, we can use the ordered pairs (x, C). So, using the points (430, 150) and (880, 285), we have:

[tex]m=\frac{285-150}{880-430}=\frac{135}{450}=0.3[/tex]

Now, to calculate the value of b, let's use the point (430, 150) in the equation (that is, x = 430 and C = 150):

[tex]\begin{gathered} C=0.3x+b \\ (430,150)\colon \\ 150=0.3\cdot430+b \\ 150=129+b \\ b=150-129 \\ b=21 \end{gathered}[/tex]

Therefore the cost function is:

[tex]C=0.3x+21[/tex]

B)

Now, to find the cost for 295 minutes, let's use x = 295 and calculate the value of C:

[tex]\begin{gathered} C=0.3\cdot295+21 \\ C=88.5+21 \\ C=109.5 \end{gathered}[/tex]

Therefore the cost for 295 minutes is $109.50.

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.