Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The graph below shows the total cost of cable service to new customers for the 1st 5 months based on the data in the graph of which of the following expressions can be used to represent the total cost of cable service for M months?

Sagot :

First, we find the slope using the following formula

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

Let's replace the points (1,10) and (5, 170) where

[tex]\begin{gathered} x_1=1 \\ x_2=5 \\ y_1=10 \\ y_2=170 \end{gathered}[/tex][tex]m=\frac{170-10}{5-1}=\frac{160}{4}=40[/tex]

Then, we use the point-slope formula to find the equation

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-10=40(x-1) \\ y-10=40x-40 \\ y=40x-40+10 \\ y=40x-30 \end{gathered}[/tex]

Hence, the answer is D where x is M.